• TABLE OF CONTENTS
HIDE
 Front Cover
 Title Page
 Table of Contents
 Introduction
 1 - Physical experiments
 2 - Numerical simulations
 Appendices
 Appendix A - Tables of time averaged...
 Appendix B - Programs used in the...
 Appendix C - Plots of error betwen...






Group Title: Miscellaneous Publication - University of Florida. Coastal and Oceanographic Engineering Program ; 97/02
Title: Physical and numerical experiments on the time rate of scour
CITATION PAGE IMAGE ZOOMABLE
Full Citation
STANDARD VIEW MARC VIEW
Permanent Link: http://ufdc.ufl.edu/UF00074941/00001
 Material Information
Title: Physical and numerical experiments on the time rate of scour
Series Title: Miscellaneous Publication - University of Florida. Coastal and Oceanographic Engineering Program ; 97/02
Physical Description: Book
Creator: Gosselin, Mark S.
Sheppard, D. Max
Affiliation: University of Florida -- Gainesville -- College of Engineering -- Department of Civil and Coastal Engineering -- Coastal and Oceanographic Program
Publisher: Dept. of Coastal and Oceanographic Engineering, University of Florida
Publication Date: 1997
 Subjects
Subject: Coastal Engineering
Scour (Hydraulic engineering)   ( lcsh )
University of Florida.   ( lcsh )
Spatial Coverage: North America -- United States of America -- Florida
 Notes
Funding: This publication is being made available as part of the report series written by the faculty, staff, and students of the Coastal and Oceanographic Program of the Department of Civil and Coastal Engineering.
 Record Information
Bibliographic ID: UF00074941
Volume ID: VID00001
Source Institution: University of Florida
Holding Location: University of Florida
Rights Management: All rights reserved, Board of Trustees of the University of Florida

Table of Contents
    Front Cover
        Front Cover
    Title Page
        Title Page
    Table of Contents
        Table of Contents
    Introduction
        Page 1
    1 - Physical experiments
        Page 2
        Page 3
        Page 4
        Page 5
        Page 6
        Page 7
        Page 8
    2 - Numerical simulations
        Page 9
        Page 10
        Page 11
        Page 12
    Appendices
        Page 13
        Page 14
    Appendix A - Tables of time averaged velocities from the physical experiments
        Page 15
        Page 16
        Page 17
        Page 18
        Page 19
        Page 20
        Page 21
        Page 22
        Page 23
        Page 24
        Page 25
        Page 26
        Page 27
        Page 28
        Page 29
        Page 30
        Page 31
        Page 32
        Page 33
        Page 34
        Page 35
        Page 36
        Page 37
        Page 38
        Page 39
        Page 40
        Page 41
        Page 42
        Page 43
        Page 44
        Page 45
        Page 46
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        Page 51
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        Page 53
        Page 54
        Page 55
        Page 56
        Page 57
        Page 58
        Page 59
    Appendix B - Programs used in the reduction of data
        Page 60
        Page 61
        Page 62
        Page 63
        Page 64
        Page 65
        Page 66
        Page 67
        Page 68
        Page 69
    Appendix C - Plots of error betwen measured and predicted velocity vectors
        Page 70
        Page 71
        Page 72
        Page 73
        Page 74
        Page 75
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        Page 97
Full Text




UFL/COEL/MP-97/02


PHYSICAL AND NUMERICAL EXPERIMENTS ON THE
TIME RATE OF SCOUR



By



Mark S. Gosselin
and
D. Max Sheppard


May, 1997









UFL/COEL/MP-97/02


PHYSICAL AND NUMERICAL EXPERIMENTS ON THE
TIME RATE OF SCOUR





By

Mark S. Gosselin


Coastal and Oceanographic Engineering Department
University ofFlorida, Gainesville, Florida

and

D. Max Sheppard

Coastal and Oceanographic Engineering Department
University of Florida, Gainesville, Florida


May, 1997










Table of Contents





Introduction .............. ......... ... .......... .. . .. ............. 1

Section 1-Physical Experiments....................................... ................... 2
1.1 Equipment ............................... .. .... .... ............... 2
1.1. 1 Flum e ................. ................... ................... ...... 2
1.1.2 Sediment............................................ ................ 2
1.1.3 Scour and Hydrodynamic Models................................3
1.1.4 Flow Measurement ............................. .............. 4
1.2 Experimental Methods and Conditions....... ..................... ....... 4
1.2.1 Erodible Bed Experiments........................................ 4
1.2.2 Fixed Bed Hydrodynamic Tests................................. 5

Section 2 Numerical Simulations................ ... ............................. 9
2.1 Computer Software ......... ................ .. ............... ... .. ....... 9
2.2 Computational Simulations......................... ................. 9
2.2.1 Program Options ............ ... ............................... 9
2.2.2 Simulations of Fixed Bed Experiments......................... 12

A ppendices .................................... ...... ................ .. ... ... .. .... .......... 13
Appendix A Tables of Time Averaged Velocities from the Physical Experiments.. 15
Table A-i .................................. ....... ............. .. ............ 16
Table A -2.................................. ................ ............. .......... 26
Table A-3 ......................... .. .... ........ .......... 36
Table A-4............................................... .. ............. 48

Appendix B Programs Used in the Reduction of Data.................. ...............60
Program B- ........... ..... .................. .... ................ ..... ..... 61
Program B-2 .... .......... ..... ...... ....... ................... ............... .... 67

Appendix C Plots of Error between Measured and Predicted Velocity Vectors.... 70
Plots C- .............. ....... ....... ......... ... .. ....... .. ...........71
Plots C-2 .........................................................79
Plots C-3 ........ ......... . ... ................. ............. .. ...........85
Plots C-4...................... ........................................................91









INTRODUCTION


This report describes the test conditions for the physical and numerical

experiments performed as part of an investigation of the temporal variation of the depth of

scour. This report is meant to augment the dissertation by Mark Gosselin entitled The

Temporal Variation of Clear Water Local Scour around a Single Circular Cylinder

submitted as partial requirement for a doctoral degree in the Department of Coastal and

Oceanographic Engineering at the University of Florida in Gainesville, Florida. The

original investigation was performed by Mark Gosselin under the auspices of Professor D.

Max Sheppard. This report contains a brief description of the conditions of the physical

and numerical experiments, as well as all the raw data used in the analysis. The physical

experiments are divided into two categories: erodible bed experiments and fixed bed

hydrodynamic tests. The numerical simulations model the fixed bed hydrodynamic tests of

the physical experiments.












SECTION 1

PHYSICAL EXPERIMENTS



1.1 Equipment

1.1.1 Flume

All of the experiments were performed in the Hydraulics Research Flume located

in the Civil Engineering Department of the University of Florida. The main section of this

recirculating flume has a flat fiberglass covered bottom and is 30 m long, 2.46 m wide and

0.75 m deep. The flow is produced by a 100 hp pump capable of a maximum discharge of

1100 liters/sec.

Located at the center of the main flume is a windowed test section which is 0.33 m

deeper than the rest of the main flume. This section starts approximately 13 m from the

weir and measures 6.10 m long by 2.46 m wide. This section is filled with sediment such

that the level of the sediment equals that of the rest of the main flume. It is at this section

that all scour experiments and hydrodynamic measurements are performed.

1.1.2 Sediment

The entire test section was filled with a quartz sediment that was mined in

Jacksonville, Florida. The properties of the sediment are contained in Table 1.1 and the

sediment size distribution graphed in Figure 1.1. The grain size data in Table 1.1 and the

graph in Figure 1.1 were produced by finding the best fit log-normal distribution curve

using the mean and standard deviation as the free parameters.










1.00




0.80




0.60




0.40




0.20 -


0.10


I I


I I
- I -I -

I I
I I
I I

I-- -_ -
I I

I I

I I
1- 1-




Best fit I

+ Average


I I I I I


2 3 5

Sediment Size, d (mm)

Figure 1.1 Sediment size distribution.


1.00


Table 1.1 Sediment Properties
Density, p 2650 kg/m3
Median Grain Size, d5o 0.169 mm
Geometric Mean, dg 0.169 mm
Geometric Standard Deviation, g, 1.30
Dynamic Angle of Repose, 4 310



1.1.3 Scour and Hydrodynamic Models

For all the scour and hydrodynamic tests, a vertical circular cylinder with uniform

cross-section was used. The PVC cylinder was a 1.0 m long and 16.83 cm in diameter.


I I I I I I
I I I I I I


-t -1 -I -1












I T 1 -I T



_og-Nami- Distribunti

Data fiunm7 Sieve Analyses
I I I I I I





ag-Ncnml Distribution

Data from7 Sieve Analyses


0.00


I I I


I I I I









For the hydrodynamic part of the experiment, the bed was fixed in place to prevent

changing the boundary conditions during measurement of the flow field.

1.1.4 Flow Measurement

Point measurements of the flow field were made using an Acoustic Doppler

Velocimeter (ADV) manufactured by Sontek. Utilizing a focal-point acoustic Doppler

system, the ADV is inherently free of signal drift and therefore does not require constant

recalibration. The system used in these experiments is the ADVField. This system

consists of a probe attached to a 7 mm thick, 40 cm long stem which is connected to a

signal conditioning module. The module is connected to a stand alone processor encased

in a "splash-proof' enclosure via a 10 m cable. The processor performs the required

computations for real time estimations of the 3 components of velocities at output rates up

to 25 Hz. The processor also acts as a power supply for the probe. Communication with

the processor was made through the serial port of a 486 PC computer.

1.2 Experimental Methods and Conditions

1.2.1 Erodible Bed Experiments

The erodible bed tests involve clear water scour about a circular cylinder. All

scour experiments were performed using the same pile diameter and sediment size. A

summary of the average flow conditions for the three scour tests as well as the other

relevant parameters is presented in Table 1.2. The time history of the depth of scour for

each experiment is in Figure 1.2.










14.00


12.00


10.00


8.00


6.00


4.00


T00
0.00 4.00


I I 1
8.00 12.00
Time (hours)


Figure 1.2 Depth of scour time history for the three erodible bed experiments.


Equilibrium Test 1 Hour Test 6 Hour Test
Water Depth, yo (m) 0.348 0.345 0.349
Discharge, Q (m/s) 0.210 0.209 0.211
Depth Avg. Velocity, U (m/s) 0.244 0.245 0.245
Water Temperature (oC) 24.7 27.0 27.7
Final Scour Depth, ds (cm) 13.8 6.3 10.5
Cylinder Diameter, b (cm) 16.9
Median Grain Size, d50 (mm) 0.169



1.2.2 Fixed Bed Hydrodynamic Tests

Four fixed bed conditions were examined for this part of the investigation: the

three scour holes associated with the erodible bed scour experiments and the initial flat


-- --- I-- -1-- -










Equilibrium Scour

SA-- Time = 1 hr. Scour

( Time = 6 hr. Scour



I I I I I
Ili
I,I l


16.00


20.00


24.00


Table 1.2 Summary of Experimental Conditions (Scour Tests)


I









bed condition. The average flow conditions for each of the experiments is found in Table

1.3.

Table 1.3 Summary of Experimental Conditions (Hydrodynamic Tests)
Flat Bed Test Equilibrium Test 1 Hour Test 6 Hour
yo (m) 0.348 0.348 0.350 0.348
Q (m3/) 0.211 0.208 0.210 0.210
U (m/s) 0.246 0.242 0.243 0.246
ds (cm) 0.0 13.8 10.5 6.3


The location of the measurement points for the hydrodynamic tests varied. For the

flat bed case, the first case studied, a much denser mesh was used. Since the flow is

assumed to be symmetric, only one side of the cylinder was studied. A graph of the (X,Y)

coordinates of the measurements for this test is presented in Figure 1.5(a).

For all the hydrodynamic tests the following coordinate system is used: positive X

points into the flow, positive Z is upwards and positive Y is such that the right hand

coordinate system is formed (to the left when viewed from above facing upstream). The

location of the origin is at the center of the cylinder at the level of the unscoured bed. For

the remaining three tests, measurements were made in planes at 00, 30, 600 and 900 as

measured from the stagnation plane. A graph of the (X,Y) coordinates of the measurement

positions for these three tests is presented in Figure 1.5(b). The vertical location of the

points was identical for all the tests. The value of the Z coordinates were as follows: 24.0,

20.0, 15.0, 10.0, 7.5, 5.0, 4.0, 3.0, 2.0, and 1.0 cm. In addition to these points,

measurements below the unscoured bed level (i.e. in the scour hole) were made at one cm

intervals.










60.0 -



40.0 -


20.0 -


0.0 -


-20.0


-40.0 -20.0


60.0 -



40.0 -


20.0 -


0.0



-20.0


-40.0


-20.0
-20.0


0.0 20.0
X direction (cm)


I I
0.0 20.0
X direction (cm)


Figure 1.5 Measurement locations for (a) flat bed case and (b) remaining cases.


Flow Direction



+

+ + +


+ + + +
++ -I-4


40.0
40.0


60.0


+ Flow Direction
+
+
+
+
+ + + + +
+ + + + +
S+++


I +++ + +


40.0
40.0


. ..


l









For the measurement of the velocities, a two minute record was acquired. The

data was recorded in a binary file, and then transferred to a Pentium computer were it was

reduced. All data reduction was performed using the Matlab M-file dataredu.m. This

program is listed in Appendix B. It calls the subroutines provided by Sontek that read the

binary files and produce ASCII files containing the desired information. The M-file

performs the following calculations: (1) reads the velocity, position, and distance to the

boundary from the binary file, (2) rotates the velocity data to flume oriented coordinates if

necessary, (3) removes the single point spikes that tend to occur in the raw data, (4)

removes the low frequency noise associated with waves in the flume, and (5) calculates

the flow statistics including the three mean velocities, the terms of the Reynolds stress

tensor and the determinant of this tensor. For more information on the specifics of the

physical experiments, see the dissertation referenced at the beginning of this report.









SECTION 2

NUMERICAL SIMULATIONS

2.1 Computer Software

FLOW-3D is a commercially available software package developed by Flow

Science, Inc. The software is capable of analyzing a range of fluid dynamic and thermal

phenomena. It is equipped to model three-dimensional, time dependent flows as well as

handle both complex geometric forms and free surfaces. It also provides a number of

options for turbulent closure. The software is also available for a number of platforms

ranging from Pentium PCs to super computers. For more information on the specifics of

the software, see the dissertation referenced at the beginning of this report.

2.2 Computational Simulations

All the computational experiments in this investigation were performed using the

FLOW-3D software running on a 90 MHz Pentium PC with 32 Mbytes of RAM.

2.2.1 Program Options

For all the simulations performed, the fluid employed had a density of 1.0 g/cm3

and a dynamic viscosity of 0.01 g/(cm s). The physical situation modeled by the

simulations is horizontal flow over a flat bed. Gravity acts vertically downward at a rate

of 980.6 cm/sec2 and hence there is an initial hydrostatic pressure distribution acting in the

vertical direction. The option for wall shear stress is used so that there is a no-slip

condition on all boundaries designated as walls and all obstacles. The choice for the time

of simulations was 20 seconds. Given a "hot-start" to the model, 20 seconds allowed

sufficient time for the model to reach an equilibrium condition at least in the regions of

interest. Turbulence closure was achieved using the RNG model.









The meshes utilized in the simulations varied slightly from experiment to

experiment due to the fact that mesh generation is controlled automatically by the

software. In creating the mesh, the user specifies the total number of nodes and the

distance between the opposing boundaries for each of the three directions. In addition, the

user is allowed the option of specifying the placement of a solution plane between the

boundaries, the spacing on either side of this plane, and the number of solution planes

contained between specified planes. To provide some consistency between numerical

experiments, a few rules were followed in the mesh generation. First, the center of the

cylinder was located at (X,Y) = (0,0), and the flow is from left to right in the positive X

direction. Since the radius of the cylinder is 8.41 cm, a solution plane was specified at X =

-9.19 and the spacing on either side of this plane was fixed to 0.75 cm. Hence, three

planes are specified in this manner starting 3.0 mm from the leading edge of the cylinder

and progressing upstream with a spacing of 7.5 mm. Also, a plane was specified at the

unscoured bed level (Z = 0.0 cm) with a spacing of 5.0 mm. For the case of a scour hole,

an additional plane was specified in the X-direction at the leading edge of the hole in order

to better capture the flow separation. For all cases, the mesh extended from -58.4 cm to

+40.0 cm in the X-direction and -80.0 cm to 0.0 cm in the Y-direction. The distance in

the Y-direction dictates that the spacing between piles that are imposed on the solution as

part of the symmetry boundary condition on the front of the mesh is 1.6 m from center to

center. Thus, the piles occupy only 10% of the cross-sectional area between the piles and

therefore interference between piles is avoided. The distance the mesh extended in the Z-

direction was dependent upon the depth of scour hole studied. In each direction the

principle followed in mesh generation was that spacing between consecutive planes not









exceed a ratio of 1.3. This criteria is suggested for solution stability. For each of the

simulations, planes were added or subtracted at different areas in the mesh to satisfy this

rule. The largest mesh used consisted of 51,414 cells and the smallest had 30,492 cells.

The smallest cell generated by the software measured 0.75 x 1.0 x 0.4 cm3.

For the initial flat bed case, the only obstacle in the computational mesh required is the

cylinder. It is located at the origin in the mesh and extends the full range in the Z-

direction. It has a diameter of 16.8 cm and is situated on the back face of the

computational domain. For the cases involving a scour hole, a much more complex

obstacle must generated. It has often been mentioned in the literature that the scour hole

resembles an inverted right cone whose axis coincides with that of the cylinder. Using this

model, the scour hole is constructed by first creating a large rectangular block on the

bottom of the grid and then excavating out a hole shaped like an inverted cone.

Completion of the model is achieved by next adding the cylinder at the center of the hole.

The equation for the cone is dependent upon both the dynamic angle of repose of the

sediment and the desired scour depth. This technique creates a sharp interface where the

cone meets the cylinder, however. Point gauge data from the experiments indicate that

there is a narrow but noticeable shelf immediately next to the cylinder. To introduce this

into the model, a block is created at the bottom of the cone to truncate the hole before it

reaches the cylinder. For the simulations of the experimental work, the angle of the cone,

width of the shelf and scour depth are taken directly from point gauge data. Since the

focus of this investigation was the hydrodynamics at the leading edge of the cylinder, no

attempt was made to model the characteristic hump that is found in the wake region of the

cylinder.










2.2.2 Simulations of Fixed Bed Experiments

The four physical experiments were simulated computationally. Each simulation

was initiated with a "hot-start" and run for 20 seconds. The left boundary condition was

determined using a best fit to the experimental data obtained the farthest upstream and the

left boundary of the mesh was set at that point. The configuration of the scour hole, in

specific the depth and the angle of the cone, was determined directly from the point gauge

data. A summary of some of the pertinent simulation parameters is found in Table 2.1.

Table 2.1 Physical Experiment Simulation Parameters
Scour Hole After Number of Cells Smallest Cell Largest Cell CPU Time
x,y,z (cm3) x,y,z (cm3) (hours)
0 hours 41,514 0.75x1.0x0.5 4.2x7.0x1.9 32.67
1 hour 30,492 0.75x1.0x0.5 3.9x7.0x1.3 15.75
6 hours 36,784 0.75x1.0x0.5 5.0x7.0x1.3 15.46
24 hours 37,884 0.75x1.0x0.4 5.8x7.0x2.8 13.48


In order to compare the data produced from the simulations to the experimental

measurements, it is necessary to interpolate the data from the simulations to the points

were the measurements were made. The procedure for accomplishing this task involves

first modifying the requested output file to direct the software to write the flow properties

(velocities, turbulent energy, etc.) to an ASCII file. This file is then read and the desired

velocities at the points where measurements are made are found through a three

dimensional interpolation of the simulation data. The program compare.for listed in

Appendix B was used for this feat.









APPENDICES

DESCRIPTIONS



The appendices are organized into three sections. Contained in Appendix A are

tables of the raw data measured from the experiments. The values in the tables are the

X,Y, and Z positions of the measured vector and the time averaged mean of the velocity.

Appendix B contains the programs used for data reduction for this experiment.

The M-file dataredu.m was used to reduce the data collected by the Sontek ADV. The

Fortran program compare.for was used to interpolate the results of the numerical

simulations for comparison with the values measured in the physical experiments.

Appendix C contains plots created for comparison of the numerical simulations

with the measured data. The plots show each of the 26 planes measured for each of the 4

fixed bed hydrodynamic tests. The appendix contains contour plots of the velocity vector

magnitude error (represented in terms of a percentage difference) and contour plots of the

three-dimensional difference in angle (represented in terms of degrees) between the

measured and predicted values. Also contained in this appendix is a contour / vector plot

showing the difference vector that results when the velocities from the numerical

simulations are subtracted from the measured values. The vectors show the difference

vector in the plane depicted and the contour indicates the difference in the velocity

perpendicular to the flow.

For the plots, the velocity vector length is proportional to its magnitude and it is

scaled by the magnitude largest vector found in the plane. This magnitude is listed in all

plots. Plots are presented for the four scour cases. For each figure, the following









conventions are used: (1) the coordinate system is the same as described previously, (2)

the origin of the coordinate system is at the center of the cylinder at the initial unscoured

bed level, (3) planes denoted by degrees are planes rotated from the stagnation plane (Y =

0 cm) by the indicated amount passing through the center of the cylinder, and (4) planes

labeled X = -b and X = -2b are Y-Z planes in the lee of the cylinder at distances behind the

cylinder X = 1 diameter (= -16.8 cm) and X = 2 diameters (= -33.7 cm).










APPENDIX A

TABLES OF TIME AVERAGED VELOCITIES FROM THE PHYSICAL

EXPERIMENTS



Table A-1: Measured time-averaged velocities for the T = 0 hours, flat bed initial

condition.

Table A-2: Measured time-averaged velocities for the T = 1 hour scour hole.

Table A-3: Measured time-averaged velocities for the T = 6 hours scour hole.

Table A-4: Measured time-averaged velocities for the T = 24 hours scour hole.
































15












Table A-1 Measured time-averaged velocities for the T = 0 hours, flat bed initial condition


-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.4
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-58.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.0
-33.(
-28.(
-28.(
-28.(
-28.(
-28.(
-28.(
-28.C
-28.(
-28.(
-28.(
-28.(


AU w t'm/O I (cm)


0.06 0.3
0.06 0.8
0.06 1.8
0.06 2.8
0.06 3.8
0.06 4.8
0.06 7.3
0.06 9.8
0.06 14.8
0.06 19.8
0.06 23.8
0.16 0.1
0.16 0.3
0.16 0.6
0.16 1.6
0.16 2.6
0.16 3.6
0.16 4.6
0.16 7.1
0.16 9.6
0.16 14.6
0.16 19.6
0.16 23.6
0.16 23.6
0.16 19.6
0.16 14.6
0.16 9.6
0.16 7.1
0.16 4.6
0.16 3.6
0.16 2.6
0.16 1.6
0.16 0.6
0.16 0.1
0.16 0.3
S0.16 0.3
) 0.16 0.6
0 0.16 1.6
) 0.16 2.6
) 0.16 3.6
0 0.16 4.6
0 0.16 7.1
0 0.16 9.6
0 0.16 14.6
0 0.16 19.6
0 0.16 23.6


L=


X (,cm)|Y (cm)| Z an)


Y (cm)JZ (cm)U (cmls)


\-- I 7
14.79
16.01
18.32
19.58
20.24
21.62
23.80
24.64
25.67
27.08
27.44
9.26
11.61
14.81
16.82
19.99
20.05
22.49
22.81
23.31
25.43
26.78
27.73
26.00
25.74
23.84
22.15
20.75
17.97
16.89
17.29
14.56
13.83
3.38
10.58
10.26
11.65
14.43
15.54
16.60
17.21
18.27
22.06
23.69
25.95
26.77


0.51 -0.23 -6.5 -7.35 4.6 22.92
0.31 0.07 -6.5 -7.35 7.1 25.38
0.56 0.21 -6.5 -7.35 9.6 25.29
0.33 0.02 -6.5 -7.35 14.6 26.4
0.63 0.07 -6.5 -7.35 19.6 26.8(
0.52 0.40 -6.5 -7.35 23.6 27.2(
0.87 0.48 -5.5 -7.35 23.6 27.1


v kllu : I


S,..... II ..


1.44
1.57
1.58
1.07
1.25
1.27
1.03
0.93
1.00
0.98
0.77
-1.69
-1.02
0.25
1.13
0.92
1.04
0.74
0.88
0.90
0.83
0.77
1.11
0.55
0.55
0.39
0.32
0.17
0.58
0.59
0.57
0.23
0.42
-2.05
-1.19
-0.60
0.23
0.47
0.19


I


u ""


-0.13
-0.10
0.03
-0.03
0.15
0.10
0.21
0.22
0.12
-0.11
-0.03
-1.52
-0.88
-0.69
-0.45
-0.15
-0.10
0.14
0.14
0.19
0.22
0.29
0.17
0.26
0.16
0.15
-0.01
-0.19
-0.31
0.03
0.02
-0.04
-0.07
-1.90
0.18
-0.12
-0.06
-0.07
n 90A


-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-9.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-8.5
-7.5
-7.5
-7.5
-7.5
-7.5
-7.5
-7.5
-7.5
-7.5
-7.5
-6.5
-6.5
-6.5
-6.5
-6 5


-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7.35
-7 35


23.6
19.6
14.6
9.6
7.1
4.6
3.6
2.6
1.6
0.6
0.1
0.1
0.1
0.1
0.6
1.6
2.6
3.6
4.6
7.1
9.6
14.6
19.6
23.6
23.6
19.6
14.6
9.6
7.1
4.6
3.6
2.6
1.6
0.6
0.1
0.6
1.6
2.6
3.6


23.49
22.46
22.41
21.15
21.45
20.38
20.31
19.51
17.68
14.88
9.61
5.98
4.65
7.07
14.73
18.38
19.86
19.56
20.86
21.73
22.81
23.30
23.04
24.01
25.61
24.19
24.15
23.96
22.62
21.96
21.57
20.20
18.67
12.17
-0.41
9.08
20.41
22.45
23.3 8


v (cm/s) w (clms)
-8.86 4.89
-8.82 5.03
-8.87 4.51
-8.08 3.94
-8.24 3.85
-7.94 4.03
-7.88 4.01
-7.59 4.05
-7.44 4.70
-8.64 6.58
-8.79 6.97
-8.23 5.21
-9.38 4.48
-11.15 5.10
-11.55 5.96
-9.92 4.65
-9.80 4.15
-9.53 3.37
-9.52 3.33
-9.57 3.37
-10.01 3.78
-10.29 4.55
-10.13 5.04
-10.50 5.33
-12.17 6.09
-11.57 5.52
-11.56 4.57
-11.37 3.84
-11.22 3.28
-10.91 2.93
-10.98 3.28
-10.54 3.37
-11.38 4.12
-13.52 4.63
-11.01 0.65
-14.67 3.78
-12.78 4.56
-12.89 4.07
-12.97 3.78
-12.76 3.61
S -13.61 3.76
9 -13.09 4.59
S -13.79 5.63
0 -13.49 6.59
0 -13.76 6.82
5 -15.04 6.59


6VV -3 3.6.











Table A-1 continued

X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s)W (cm/s) X (cm) Y (cm)JZ (cm) U (cm/s) V (cm/s) W (cm/s)
-23.0 0.16 23.6 24.75 0.40 0.12 -5.5 -7.35 19.6 26.77 -15.18 6.23
-23.0 0.16 19.6 24.88 0.58 -0.10 -5.5 -7.35 14.6 25.62 -15.28 4.95
-23.0 0.16 14.6 21.72 0.44 -0.06 -5.5 -7.35 9.6 25.45 -13.72 3.57
-23.0 0.16 9.6 18.97 0.03 0.01 -5.5 -7.35 7.1 24.67 -14.03 3.05
-23.0 0.16 7.1 19.54 0.16 -0.26 -5.5 -7.35 4.6 23.03 -13.77 2.52
-23.0 0.16 4.6 16.96 0.21 -0.16 -5.5 -7.35 3.6 23.36 -13.32 2.84
-23.0 0.16 3.6 14.92 0.18 -0.04 -5.5 -7.35 2.6 21.37 -13.43 2.79
-23.0 0.16 2.6 14.47 0.42 -0.08 -5.5 -7.35 1.6 21.70 -13.48 4.46
-23.0 0.16 1.6 13.22 0.02 0.10 -5.5 -7.35 0.6 19.15 -14.63 6.63
-23.0 0.16 0.6 12.01 -0.37 0.18 -5.5 -7.35 0.1 8.02 -13.14 3.92
-23.0 0.16 0.1 6.58 -1.95 -0.24 0.4 -10.05 23.6 33.73 -7.18 2.15
-20.5 0.16 0.1 7.90 -1.04 0.02 0.4 -10.05 19.6 34.86 -6.54 2.06
-20.5 0.16 0.6 10.99 -0.33 0.33 0.4 -10.05 14.6 33.72 -5.79 0.57
-20.5 0.16 1.6 12.80 0.24 0.00 0.4 -10.05 9.6 33.34 -4.95 -0.33
-20.5 0.16 2.6 13.49 -0.15 -0.07 0.4 -10.05 7.1 30.83 -5.43 -0.61
-20.5 0.16 3.6 14.92 -0.10 -0.13 0.4 -10.05 6.6 30.97 -4.24 -0.47
-20.5 0.16 4.6 15.15 -0.33 -0.08 0.4 -10.05 3.6 29.37 -4.28 -0.41
-20.5 0.16 7.1 17.96 -0.05 -0.52 0.4 -10.05 2.6 30.58 -3.88 0.66
-20.5 0.16 9.6 20.52 0.01 -0.78 0.4 -10.05 1.6 30.64 -5.34 1.50
-20.5 0.16 14.6 21.61 -0.18 -0.46 0.4 -10.05 0.9 30.91 -6.90 3.81
-20.5 0.16 19.6 23.16 0.14 -0.30 0.4 -10.75 1.0 29.13 -6.81 4.19
-20.5 0.16 23.6 23.98 0.32 -0.02 0.4 -10.75 1.6 28.79 -4.59 1.79
-18.0 0.16 23.6 21.67 0.02 -0.02 0.4 -10.75 2.6 30.00 -4.45 1.19
-18.0 0.16 19.6 21.32 -0.10 -0.10 0.4 -10.75 3.6 29.47 -4.40 0.55
-18.0 0.16 14.6 20.45 0.03 -0.08 0.4 -10.75 4.6 31.16 -4.68 0.26
-18.0 0.16 9.6 19.38 -0.10 -0.32 0.4 -10.75 7.1 31.89 -4.62 0.04
-18.0 0.16 7.1 19.56 -0.08 -0.24 0.4 -10.75 9.6 30.92 -4.66 0.13
-18.0 0.16 4.6 19.01 0.04 -0.09 0.4 -10.75 14.6 33.50 -5.46 0.92
-18.0 0.16 3.6 18.59 -0.36 0.18 0.4 -10.75 19.6 32.95 -5.90 1.62
-18.0 0.16 2.6 17.17 0.28 -0.05 0.4 -10.75 23.6 34.12 -6.79 2.30
-18.0 0.16 1.6 16.51 -0.22 0.56 0.4 -11.75 23.6 33.31 -5.69 2.16
-18.0 0.16 0.6 14.11 -0.21 0.50 0.4 -11.75 19.6 32.27 -5.70 1.46
-18.0 0.16 0.1 8.40 -1.34 0.15 0.4 -11.75 14.6 31.48 -4.87 0.86
-18.0 0.16 0.1 2.83 -2.72 -0.90 0.4 -11.75 9.6 30.88 -4.04 0.50
-16.0 0.16 0.1 6.61 -0.92 -0.61 0.4 -11.75 7.1 29.00 -3.77 0.51
-16.0 0.16 0.6 12.14 -0.30 0.31 0.4 -11.75 4.6 28.52 -3.34 0.32
-16.0 0.16 1.6 14.63 -0.37 0.39 0.4 -11.75 3.6 26.20 -3.15 0.18
-16.0 0.16 2.6 15.55 -0.25 0.20 0.4 -11.75 2.6 26.65 -4.14 0.96
-16.0 0.16 3.6 16.27 -0.56 0.19 0.4 -11.75 1.6 27.41 -4.59 2.14
-16.0 0.16 4.6 17.06 -0.79 0.05 0.4 -11.75 1.0 28.41 -7.81 4.99
-16.0 0.16 7.1 17.89 -0.65 -0.15 0.4 -13.25 1.1 23.34 -6.54 3.94
-16.0 0.16 9.6 18.13 -0.46 -0.39 0.4 -13.25 1.6 24.98 -4.43 2.50
-16.0 0.16 14.6 19.05 -0.54 -0.14 0.4 -13.25 2.6 26.21 -3.13 1.45
-16.0 0.16 19.6 19.49 -0.43 -0.06 0.4 -13.25 3.6 26.94 -2.88 1.28
-16.0 0.16 23.6 20.77 -0.19 -0.04 0.4 -13.25 4.6 27.96 -2.41 1.03
-14.5 0.16 23.6 18.41 -0.46 -0.26 0.4 -13.25 5.1 27.75 -3.22 0.48











Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm)FU (cm/s) V (cm/s) W (cm/s)
-14.5 0.16 19.6 17.50 -0.76 -0.17 0.4 -13.25 9.6 29.27 -3.71 0.19
-14.5 0.16 14.6 17.28 -0.66 -0.14 0.4 -13.25 14.6 30.71 -3.96 0.93
-14.5 0.16 9.6 16.44 -0.98 -0.36 0.4 -13.25 19.6 31.16 -4.38 1.46
-14.5 0.16 7.1 16.24 -0.90 -0.45 0.4 -13.25 23.6 33.17 -5.06 2.32
-14.5 0.16 4.6 15.57 -0.71 -0.56 0.4 -14.75 23.6 30.71 -4.01 2.21
-14.5 0.16 3.6 15.58 -0.81 -0.31 0.4 -14.75 19.6 30.56 -3.93 1.92
-14.5 0.16 2.6 14.90 -0.75 0.03 0.4 -14.75 14.6 29.96 -3.54 1.69
-14.5 0.16 1.6 14.10 -0.75 0.39 0.4 -14.75 9.6 28.54 -3.16 1.63
-14.5 0.16 0.6 10.50 -0.65 0.44 0.4 -14.75 7.1 27.89 -3.22 1.82
-14.5 0.16 0.1 6.77 -1.54 0.65 0.4 -14.75 4.6 28.95 -2.87 2.57
-13.0 0.16 0.1 6.41 -1.46 0.94 0.4 -14.75 3.6 28.41 -2.68 2.71
-13.0 0.16 0.6 9.79 -1.97 1.32 0.4 -14.75 2.6 27.39 -2.27 2.95
-13.0 0.16 1.6 12.96 -1.98 0.54 0.4 -14.75 1.6 26.40 -3.30 3.71
-13.0 0.16 2.6 13.47 -1.80 -0.22 0.4 -14.75 0.9 25.83 -4.75 4.65
-13.0 0.16 3.6 13.88 -2.43 -0.27 0.4 -16.75 0.6 18.59 -4.81 1.96
-13.0 0.16 4.6 13.38 -2.50 -0.53 0.4 -16.75 1.6 26.29 -2.73 3.34
-13.0 0.16 7.1 14.19 -2.05 -0.96 0.4 -16.75 2.6 26.06 -2.27 2.76
-13.0 0.16 9.6 14.50 -2.04 -0.62 0.4 -16.75 3.6 27.30 -2.26 2.59
-13.0 0.16 14.6 15.06 -1.41 -0.45 0.4 -16.75 4.6 27.52 -2.36 2.53
-13.0 0.16 19.6 15.75 -1.44 -0.33 0.4 -16.75 7.1 28.69 -2.43 2.28
-13.0 0.16 23.6 16.06 -1.20 -0.17 0.4 -16.75 9.6 28.73 -2.69 2.05
-12.0 0.16 23.6 14.09 -1.61 -0.32 0.4 -16.75 14.6 29.52 -2.49 2.10
-12.0 0.16 19.6 13.23 -1.95 -0.24 0.4 -16.75 19.6 30.98 -3.09 2.16
-12.0 0.16 14.6 13.22 -2.56 -0.49 0.4 -16.75 23.6 31.27 -3.18 2.41
-12.0 0.16 9.6 13.30 -2.70 -1.49 0.4 -19.75 23.6 30.50 -2.59 2.21
-12.0 0.16 7.1 13.48 -3.37 -1.89 0.4 -19.75 19.6 29.15 -2.37 2.22
-12.0 0.16 4.6 12.47 -3.34 -1.98 0.4 -19.75 14.6 29.32 -2.07 1.91
-12.0 0.16 3.6 11.65 -3.68 -1.91 0.4 -19.75 9.6 28.75 -1.94 2.02
-12.0 0.16 2.6 10.89 -3.23 -2.17 0.4 -19.75 7.1 27.47 -2.01 2.14
-12.0 0.16 1.6 10.22 -3.90 -1.55 0.4 -19.75 4.6 27.17 -2.00 2.22
-12.0 0.16 0.6 6.93 -3.82 -1.12 0.4 -19.75 3.6 26.69 -1.57 2.40
-12.0 0.16 0.1 3.73 -3.08 0.07 0.4 -19.75 2.6 26.13 -2.08 2.63
-12.0 0.16 0.2 0.50 -2.92 0.80 0.4 -19.75 1.6 24.49 -2.33 2.81
-11.0 0.16 0.2 -0.12 -5.68 -1.54 0.4 -19.75 0.9 23.50 -2.79 3.17
-11.0 0.16 0.1 3.14 -5.35 -2.20 0.4 -23.75 0.6 22.57 -3.29 2.97
-11.0 0.16 0.6 5.73 -4.42 -3.26 0.4 -23.75 1.6 24.13 -1.87 2.25
-11.0 0.16 1.6 7.28 -4.36 -2.71 0.4 -23.75 2.6 24.40 -1.42 1.88
-11.0 0.16 2.6 7.19 -3.72 -3.24 0.4 -23.75 3.6 25.04 -1.49 1.98
-11.0 0.16 3.6 8.36 -4.46 -3.52 0.4 -23.75 4.6 25.77 -1.50 1.78
-11.0 0.16 4.6 9.68 -3.71 -3.65 0.4 -23.75 7.1 26.93 -1.40 1.64
-11.0 0.16 7.1 9.52 -3.52 -3.06 0.4 -23.75 9.6 26.55 -1.14 1.44
-11.0 0.16 9.6 10.04 -4.36 -2.35 0.4 -23.75 14.6 28.06 -1.46 2.00
-11.0 0.16 14.6 10.35 -3.54 -1.06 0.4 -23.75 19.6 29.55 -1.61 1.89
-11.0 0.16 19.6 10.33 -2.73 -0.54 0.4 -23.75 23.6 30.06 -1.83 1.99
-11.0 0.16 23.6 10.86 -1.97 -0.45 0.4 -29.75 23.6 29.03 -1.01 1.73
-10.0 0.16 23.6 7.00 -4.38 -0.54 0.4 -29.75 19.6 28.32 -0.92 1.68











Table A-i continued
X (cm)Y (cm)Z (cm) U (cm/s) V (cm/s) W (cm/s)X (cm)Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-10.0 0.16 19.6 6.94 -4.48 -0.68 0.4 -29.75 14.6 26.86 -1.07 1.46
-10.0 0.16 14.6 6.40 -4.89 -1.64 0.4 -29.75 9.6 26.28 -1.09 1.60
-10.0 0.16 9.6 6.04 -5.05 -2.93 0.4 -29.75 7.1 25.84 -0.88 1.53
-10.0 0.16 7.1 5.48 -5.32 -3.53 0.4 -29.75 4.6 24.56 -0.81 1.62
-10.0 0.16 4.6 4.94 -8.27 -3.66 0.4 -29.75 3.6 24.17 -0.79 1.40
-10.0 0.16 3.6 5.16 -6.57 -4.81 0.4 -29.75 2.6 22.46 -1.08 1.64
-10.0 0.16 2.6 5.14 -7.74 -4.89 0.4 -29.75 1.6 22.03 -0.97 1.56
-10.0 0.16 1.6 4.58 -6.33 -5.15 0.4 -29.75 0.9 20.86 -1.65 1.78
-10.0 0.16 0.6 3.60 -5.19 -4.10 0.4 -39.75 0.9 20.89 -0.93 1.11
-10.0 0.16 0.1 -0.22 -6.60 -4.75 0.4 -39.75 1.6 22.55 -0.81 1.16
-10.0 0.16 0.2 -3.07 -8.64 -3.79 0.4 -39.75 2.6 22.98 -0.38 1.03
-9.0 0.16 0.2 0.52 0.13 0.05 0.4 -39.75 3.6 23.38 -0.80 1.22
-9.0 0.16 0.1 1.50 0.15 0.48 0.4 -39.75 4.6 22.81 -0.59 1.14
-9.0 0.16 0.6 0.52 0.05 0.14 0.4 -39.75 7.1 23.93 -0.76 1.18
-9.0 0.16 1.6 5.83 0.24 1.93 0.4 -39.75 9.6 24.81 -0.56 1.13
-9.0 0.16 2.6 0.46 -0.36 -0.25 0.4 -39.75 14.6 25.53 -0.10 1.26
-9.0 0.16 3.6 1.53 0.80 -0.04 0.4 -39.75 19.6 26.87 -0.42 1.22
-9.0 0.16 4.6 0.69 0.28 0.08 0.4 -39.75 23.6 27.38 -0.66 1.61
-9.0 0.16 7.1 0.32 0.05 0.04 15.4 0.06 0.6 -1.75 -1.33 0.76
-9.0 0.16 9.6 1.60 -4.29 -0.58 15.4 0.06 1.2 -1.32 -0.31 0.95
-9.0 0.16 14.6 1.14 -2.79 -0.92 15.4 0.06 2.2 -1.33 0.15 2.10
-9.0 0.16 19.6 1.56 -3.82 -0.71 15.4 0.06 3.2 -1.90 0.11 2.41
-9.0 0.16 23.6 0.62 -6.01 -1.22 15.4 0.06 4.2 -2.42 -0.21 2.17
-23.0 -1.85 0.1 7.44 -3.58 -0.03 15.4 0.06 5.2 -2.73 -0.99 2.87
-23.0 -1.85 0.6 13.13 -1.00 -0.16 15.4 0.06 7.7 -2.83 -1.03 2.32
-23.0 -1.85 1.6 16.67 -0.35 0.27 15.4 0.06 10.2 -1.25 -0.96 1.88
-23.0 -1.85 2.6 17.14 -0.47 0.23 15.4 0.06 15.2 -2.88 -0.38 2.71
-23.0 -1.85 3.6 18.62 -0.58 0.25 15.4 0.06 20.2 -3.73 -0.06 2.02
-23.0 -1.85 4.6 18.48 -0.30 0.24 15.4 0.06 24.2 -5.73 -0.68 1.30
-23.0 -1.85 7.1 19.69 -0.39 0.14 15.4 -2.95 24.2 -3.74 0.16 0.50
-23.0 -1.85 9.6 19.48 -0.30 0.30 15.4 -2.95 20.2 -2.78 -0.48 1.91
-23.0 -1.85 14.6 21.21 -0.29 0.21 15.4 -2.95 15.2 -1.09 -0.21 2.36
-23.0 -1.85 19.6 22.08 -0.33 0.20 15.4 -2.95 10.2 0.69 1.50 1.38
-23.0 -1.85 23.6 21.89 -0.41 0.59 15.4 -2.95 7.7 2.07 2.31 1.52
-18.0 -1.85 23.6 19.41 -0.96 0.53 15.4 -2.95 5.2 1.22 1.77 1.39
-18.0 -1.85 19.6 19.03 -1.00 0.42 15.4 -2.95 4.2 2.11 2.23 1.10
-18.0 -1.85 14.6 18.56 -0.96 0.45 15.4 -2.95 3.2 2.83 2.98 0.70
-18.0 -1.85 9.6 17.94 -0.90 0.10 15.4 -2.95 2.2 2.79 2.47 1.08
-18.0 -1.85 7.1 18.58 -0.96 0.28 15.4 -2.95 1.2 5.02 5.89 0.80
-18.0 -1.85 4.6 17.10 -1.06 0.41 15.4 -2.95 0.6 3.90 5.12 0.56
-18.0 -1.85 3.6 16.07 -1.10 0.44 15.4 -5.95 0.6 16.33 7.47 -0.06
-18.0 -1.85 2.6 15.99 -0.70 0.38 15.4 -5.95 1.2 14.59 6.34 0.01
-18.0 -1.85 1.6 14.77 -0.80 0.57 15.4 -5.95 2.2 15.17 7.14 -0.63
-18.0 -1.85 0.6 11.93 -1.65 0.61 15.4 -5.95 3.2 12.57 5.58 -1.11
-18.0 -1.85 0.1 1.40 -3.66 -1.16 15.4 -5.95 4.2 11.20 4.80 -0.70
-16.0 -1.85 0.1 3.90 -3.03 0.10 15.4 -5.95 5.2 10.61 4.03 -0.32










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm)IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-16.0 -1.85 0.6 9.22 -1.88 0.54 15.4 -5.95 7.7 11.16 5.21 -0.02
-16.0 -1.85 1.6 13.14 -1.92 1.22 15.4 -5.95 10.2 8.01 2.90 -0.55
-16.0 -1.85 2.6 15.31 -1.31 0.60 15.4 -5.95 15.2 7.79 1.47 -0.02
-16.0 -1.85 3.6 16.26 -1.19 0.39 15.4 -5.95 20.2 4.33 1.44 0.89
-16.0 -1.85 4.6 16.06 -1.38 0.41 15.4 -5.95 24.2 3.15 1.03 1.44
-16.0 -1.85 7.1 17.12 -1.30 0.06 15.4 -8.95 24.2 15.78 2.47 -0.59
-16.0 -1.85 9.6 17.39 -1.55 0.33 15.4 -8.95 20.2 16.29 3.04 -1.28
-16.0 -1.85 14.6 17.63 -1.53 0.19 15.4 -8.95 15.2 19.13 4.35 -1.86
-16.0 -1.85 19.6 18.73 -1.66 0.40 15.4 -8.95 10.2 19.54 5.00 -2.07
-16.0 -1.85 23.6 18.60 -1.35 0.57 15.4 -8.95 7.7 20.32 5.66 -1.67
-14.0 -1.85 23.6 16.28 -2.29 0.96 15.4 -8.95 5.2 22.00 6.45 -1.77
-14.0 -1.85 19.6 16.68 -2.46 0.68 15.4 -8.95 4.2 21.60 6.34 -1.40
-14.0 -1.85 14.6 17.03 -2.51 0.82 15.4 -8.95 3.2 22.21 6.36 -1.57
-14.0 -1.85 9.6 16.09 -2.15 0.38 15.4 -8.95 2.2 22.28 6.77 -1.30
-14.0 -1.85 7.1 16.55 -2.61 0.48 15.4 -8.95 1.2 22.27 6.23 -0.65
-14.0 -1.85 4.6 15.27 -2.02 0.37 15.4 -8.95 0.6 20.81 4.11 -0.47
-14.0 -1.85 3.6 15.47 -2.10 0.54 15.4 -11.95 24.2 25.94 1.98 -1.11
-14.0 -1.85 2.6 14.09 -2.18 0.79 15.4 -11.95 20.2 26.24 2.17 -1.82
-14.0 -1.85 1.6 13.71 -1.81 1.19 15.4 -11.95 15.2 26.57 3.61 -1.67
-14.0 -1.85 0.6 9.38 -2.21 0.94 15.4 -11.95 10.2 26.36 4.69 -1.76
-14.0 -1.85 0.1 3.46 -2.46 0.61 15.4 -11.95 7.7 24.29 4.58 -1.37
-12.5 -1.85 0.1 4.29 -1.69 1.80 15.4 -11.95 5.2 23.95 5.10 -1.11
-12.5 -1.85 0.6 8.15 -2.66 1.66 15.4 -11.95 4.2 23.37 4.94 -1.23
-12.5 -1.85 1.6 13.19 -2.90 1.00 15.4 -11.95 3.2 22.82 4.96 -0.69
-12.5 -1.85 2.6 13.58 -3.02 0.51 15.4 -11.95 2.2 21.99 4.37 -0.54
-12.5 -1.85 3.6 14.16 -3.06 0.22 15.4 -11.95 1.2 22.45 3.26 -0.45
-12.5 -1.85 4.6 14.22 -3.56 0.57 15.4 -11.95 0.6 23.35 2.46 -0.14
-12.5 -1.85 7.1 14.00 -3.46 0.60 15.4 -14.95 0.6 20.85 1.30 -0.04
-12.5 -1.85 9.6 14.69 -3.64 0.70 15.4 -14.95 1.2 21.82 1.87 -0.31
-12.5 -1.85 14.6 15.03 -3.42 1.03 15.4 -14.95 2.2 21.68 3.02 -0.32
-12.5 -1.85 19.6 14.88 -3.74 1.15 15.4 -14.95 3.2 22.07 3.69 -0.36
-12.5 -1.85 23.6 16.01 -3.35 1.10 15.4 -14.95 4.2 22.37 4.26 -0.51
-11.5 -1.85 0.1 5.94 -5.10 2.33 15.4 -14.95 5.2 23.66 4.11 -0.68
-11.5 -1.85 0.6 10.07 -3.96 0.91 15.4 -14.95 7.7 24.74 4.03 -0.88
-11.5 -1.85 1.6 11.95 -5.11 0.64 15.4 -14.95 10.2 25.71 3.69 -0.69
-11.5 -1.85 2.6 11.97 -4.54 0.09 15.4 -14.95 15.2 27.83 2.88 -1.35
-11.5 -1.85 3.6 12.56 -4.60 0.28 15.4 -14.95 20.2 28.20 2.46 -0.78
-11.5 -1.85 4.6 12.81 -4.28 0.21 15.4 -14.95 24.2 29.05 1.47 -0.95
-11.5 -1.85 7.1 12.64 -4.40 0.68 15.4 -17.95 24.2 29.67 1.51 -0.82
-11.5 -1.85 9.6 12.66 -4.30 1.02 15.4 -17.95 20.2 28.73 1.81 -0.92
-11.5 -1.85 14.6 12.69 -4.36 1.36 15.4 -17.95 15.2 27.68 2.28 -0.74
-11.5 -1.85 19.6 13.07 -4.35 1.53 15.4 -17.95 10.2 25.62 2.97 -0.58
-11.5 -1.85 23.6 13.65 -4.35 1.73 15.4 -17.95 7.7 23.64 3.47 -0.19
-10.5 -1.85 23.6 11.86 -6.03 2.06 15.4 -17.95 5.2 23.01 3.58 -0.32
-10.5 -1.85 19.6 11.32 -6.05 2.15 15.4 -17.95 4.2 22.21 3.35 -0.14
-10.5 -1.85 14.6 11.09 -6.44 2.01 15.4 -17.95 3.2 22.72 3.17 -0.25










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) (cm
-10.5 -1.85 9.6 10.58 -5.96 1.44 15.4 -17.95 2.2 21.76 2.22 -0.28
-10.5 -1.85 7.1 10.82 -6.44 1.30 15.4 -17.95 1.2 20.87 1.10 0.10
-10.5 -1.85 4.6 10.39 -6.24 0.60 15.4 -17.95 0.6 20.98 1.09 -0.06
-10.5 -1.85 3.6 10.40 -6.76 -0.17 15.4 -22.95 0.6 19.90 0.42 0.24
-10.5 -1.85 2.6 10.54 -6.30 -0.17 15.4 -22.95 1.2 20.52 0.53 0.26
-10.5 -1.85 1.6 10.17 -6.36 -0.75 15.4 -22.95 2.2 20.44 1.44 0.34
-10.5 -1.85 0.6 8.54 -7.23 -0.44 15.4 -22.95 3.2 21.73 2.11 -0.07
-10.5 -1.85 0.1 4.79 -7.74 -0.52 15.4 -22.95 4.2 22.46 2.49 0.03
-9.5 -1.85 0.1 4.67 -9.87 -0.88 15.4 -22.95 5.2 21.84 2.58 0.22
-9.5 -1.85 0.6 6.63 -9.64 -0.58 15.4 -22.95 7.7 22.84 2.54 0.07
-9.5 -1.85 1.6 8.17 -8.78 0.11 15.4 -22.95 10.2 25.22 2.52 -0.29
-9.5 -1.85 2.6 7.94 -9.19 0.23 15.4 -22.95 15.2 27.35 1.87 -0.56
-9.5 -1.85 3.6 8.23 -8.76 0.55 15.4 -22.95 20.2 27.29 1.66 -0.38
-9.5 -1.85 4.6 7.99 -8.42 0.94 15.4 -22.95 24.2 29.29 1.27 -0.48
-9.5 -1.85 7.1 8.53 -8.88 1.57 15.4 -29.95 24.2 27.73 0.96 -0.18
-9.5 -1.85 9.6 8.41 -8.24 2.42 15.4 -29.95 20.2 26.60 1.19 -0.18
-9.5 -1.85 14.6 8.70 -8.21 2.57 15.4 -29.95 15.2 25.46 1.37 -0.24
-9.5 -1.85 19.6 9.30 -8.54 2.44 15.4 -29.95 10.2 23.35 1.47 0.21
-9.5 -1.85 23.6 9.05 -8.23 2.80 15.4 -29.95 7.7 22.72 1.52 0.03
-9.0 -1.85 23.6 7.92 -9.70 2.91 15.4 -29.95 5.2 22.19 1.81 -0.12
-9.0 -1.85 19.6 7.62 -10.02 3.25 15.4 -29.95 4.2 21.05 1.75 0.16
-9.0 -1.85 14.6 7.28 -9.57 2.94 15.4 -29.95 3.2 19.90 1.40 0.25
-9.0 -1.85 9.6 6.81 -9.40 2.49 15.4 -29.95 2.2 19.18 1.12 0.11
-9.0 -1.85 7.1 6.19 -9.90 1.64 15.4 -29.95 1.2 18.86 1.07 -0.10
-9.0 -1.85 4.6 6.52 -9.38 1.26 15.4 -29.95 0.6 17.38 0.93 -0.24
-9.0 -1.85 3.6 7.52 -8.46 1.22 33.6 -29.95 24.2 26.77 1.63 -0.02
-9.0 -1.85 2.6 7.38 -8.61 1.22 33.6 -29.95 20.2 26.02 1.58 0.06
-9.0 -1.85 1.6 6.95 -10.30 0.97 33.6 -29.95 15.2 24.79 1.96 0.05
-9.0 -1.85 0.6 5.97 -11.07 0.35 33.6 -29.95 10.2 22.93 2.34 0.02
-9.0 -1.85 0.1 6.46 -5.74 0.65 33.6 -29.95 7.7 22.58 2.16 0.13
-8.5 -4.35 23.6 16.36 -14.39 6.29 33.6 -29.95 5.2 20.24 2.28 0.36
-8.5 -4.35 19.6 16.13 -14.37 6.40 33.6 -29.95 4.2 19.99 1.78 0.40
-8.5 -4.35 14.6 15.57 -13.88 6.03 33.6 -29.95 3.2 19.99 1.91 0.16
-8.5 -4.35 9.6 15.41 -13.89 5.60 33.6 -29.95 2.2 19.01 1.94 0.26
-8.5 -4.35 7.1 15.38 -13.42 5.59 33.6 -29.95 1.2 17.17 1.55 0.41
-8.5 -4.35 4.6 14.60 -13.43 4.27 33.6 -29.95 0.6 12.40 1.67 0.37
-8.5 -4.35 3.6 14.36 -13.53 3.69 33.6 -22.95 0.6 16.93 2.43 0.63
-8.5 -4.35 2.6 13.87 -13.21 3.13 33.6 -22.95 1.2 18.15 1.98 0.66
-8.5 -4.35 1.6 12.77 -13.15 2.79 33.6 -22.95 2.2 19.23 2.12 0.50
-8.5 -4.35 0.6 11.00 -13.80 2.40 33.6 -22.95 3.2 19.42 2.45 0.48
-8.5 -4.35 0.1 7.19 -13.77 2.59 33.6 -22.95 4.2 19.78 2.79 0.58
-9.5 -4.35 0.1 6.06 -11.87 3.02 33.6 -22.95 5.2 20.53 3.03 0.39
-9.5 -4.35 0.6 10.99 -10.40 1.76 33.6 -22.95 7.7 21.47 3.25 0.20
-9.5 -4.35 1.6 12.86 -9.77 1.80 33.6 -22.95 10.2 24.18 3.01 -0.16
-9.5 -4.35 2.6 13.77 -9.86 1.70 33.6 -22.95 15.2 24.88 2.52 -0.26
-9.5 -4.35 3.6 14.19 -10.38 1.68 33.6 -22.95 20.2 27.18 2.21 -0.40










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (c/s) W (cm/s) IX (cm) Y (cm) Z (cm) U (cm/s)IV (cm/s) W (cm/s)
-9.5 -4.35 4.6 14.38 -9.81 2.03 33.6 -22.95 24.2 27.70 1.96 -0.26
-9.5 -4.35 7.1 14.95 -10.36 2.92 33.6 -17.95 24.2 27.40 2.37 -0.96
-9.5 -4.35 9.6 14.86 -9.97 3.79 33.6 -17.95 20.2 25.89 2.28 -0.83
-9.5 -4.35 14.6 15.64 -10.70 4.66 33.6 -17.95 15.2 25.28 3.38 -0.43
-9.5 -4.35 19.6 15.91 -11.00 5.13 33.6 -17.95 10.2 23.29 3.45 -0.13
-9.5 -4.35 23.6 16.10 -10.86 4.96 33.6 -17.95 7.7 22.12 3.90 -0.05
-10.5 -4.35 23.6 16.39 -8.66 3.92 33.6 -17.95 5.2 21.30 3.86 0.01
-10.5 -4.35 19.6 16.09 -8.52 3.66 33.6 -17.95 4.2 20.25 3.49 0.06
-10.5 -4.35 14.6 15.64 -8.45 3.34 33.6 -17.95 3.2 19.66 3.15 0.26
-10.5 -4.35 9.6 15.72 -8.70 2.80 33.6 -17.95 2.2 19.38 2.53 0.33
-10.5 -4.35 7.1 15.07 -8.05 2.35 33.6 -17.95 1.2 18.51 2.50 0.35
-10.5 -4.35 4.6 15.22 -8.16 1.69 33.6 -17.95 0.6 16.84 2.31 0.43
-10.5 -4.35 3.6 14.73 -7.84 1.34 33.6 -14.95 0.6 19.08 2.54 0.23
-10.5 -4.35 2.6 13.78 -7.96 1.28 33.6 -14.95 1.2 19.13 2.61 0.27
-10.5 -4.35 1.6 13.37 -8.04 1.70 33.6 -14.95 2.2 20.10 3.57 0.03
-10.5 -4.35 0.6 9.91 -9.16 2.36 33.6 -14.95 3.2 19.17 3.43 0.22
-10.5 -4.35 0.1 3.15 -8.91 2.61 33.6 -14.95 4.2 19.48 3.89 -0.05
-10.5 -4.35 0.1 1.98 -7.58 2.79 33.6 -14.95 5.2 20.75 4.43 -0.12
-11.5 -4.35 0.1 2.19 -3.04 2.70 33.6 -14.95 7.7 21.24 4.15 -0.06
-11.5 -4.35 0.1 3.29 -5.65 4.12 33.6 -14.95 10.2 23.29 4.41 -0.44
-11.5 -4.35 0.6 8.26 -7.32 3.46 33.6 -14.95 15.2 24.33 3.90 -0.48
-11.5 -4.35 1.6 12.30 -5.73 1.43 33.6 -14.95 20.2 25.32 3.42 -1.11
-11.5 -4.35 2.6 14.15 -6.42 1.26 33.6 -14.95 24.2 24.74 2.97 -0.83
-11.5 -4.35 3.6 13.81 -6.57 1.15 33.6 -11.95 24.2 22.13 3.63 -0.38
-11.5 -4.35 4.6 13.99 -5.77 0.47 33.6 -11.95 20.2 22.35 3.38 -0.67
-11.5 -4.35 7.1 16.16 -6.52 1.00 33.6 -11.95 15.2 23.05 5.08 -0.47
-11.5 -4.35 9.6 15.93 -6.68 1.56 33.6 -11.95 10.2 22.45 4.56 -0.33
-11.5 -4.35 14.6 16.31 -6.80 2.18 33.6 -11.95 7.7 22.77 4.96 0.01
-11.5 -4.35 19.6 16.99 -6.74 2.89 33.6 -11.95 5.2 21.33 5.19 -0.31
-11.5 -4.35 23.6 17.25 -7.27 3.22 33.6 -11.95 4.2 21.00 4.73 -0.37
-12.5 -4.35 19.6 17.54 -5.66 2.34 33.6 -11.95 3.2 19.80 4.09 -0.11
-12.5 -4.35 14.6 17.71 -5.49 1.72 33.6 -11.95 2.2 19.87 3.84 0.23
-12.5 -4.35 9.6 17.21 -5.17 1.27 33.6 -11.95 1.2 18.27 2.74 0.23
-12.5 -4.35 7.1 16.98 -5.36 1.00 33.6 -11.95 0.6 17.64 2.79 0.23
-12.5 -4.35 4.6 15.62 -4.94 0.83 33.6 -8.95 0.6 15.76 2.38 0.02
-12.5 -4.35 3.6 14.64 -5.03 1.04 33.6 -8.95 1.2 18.40 3.46 0.06
-12.5 -4.35 2.6 13.45 -4.31 1.31 33.6 -8.95 2.2 18.87 4.40 0.11
-12.5 -4.35 1.6 12.04 -4.76 1.88 33.6 -8.95 3.2 19.17 4.14 -0.04
-12.5 -4.35 0.6 5.63 -6.14 3.58 33.6 -8.95 4.2 19.36 4.80 0.25
-12.5 -4.35 0.1 5.08 -4.21 5.10 33.6 -8.95 5.2 20.44 5.28 -0.21
-14.0 -4.35 0.1 3.32 -3.90 2.51 33.6 -8.95 7.7 20.26 5.11 0.19
-14.0 -4.35 0.6 5.72 -4.20 3.02 33.6 -8.95 10.2 20.25 4.70 -0.10
-14.0 -4.35 1.6 11.46 -3.79 2.62 33.6 -8.95 15.2 20.42 4.88 0.11
-14.0 -4.35 2.6 13.83 -3.90 1.59 33.6 -8.95 20.2 18.95 3.67 0.61
-14.0 -4.35 3.6 15.35 -3.80 1.08 33.6 -8.95 24.2 17.41 3.24 0.54
-14.0 -4.35 4.6 16.25 -3.37 0.52 33.6 -5.95 24.2 13.39 2.60 1.46










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm)IY (cm)IZ (cm) U (cm/s) V (cm/s) W (cm/s)
-14.0 -4.35 7.1 17.78 -3.85 0.20 33.6 -5.95 20.2 14.13 3.62 1.36
-14.0 -4.35 9.6 18.40 -4.09 0.62 33.6 -5.95 15.2 15.22 2.97 2.31
-14.0 -4.35 14.6 18.52 -4.27 1.23 33.6 -5.95 10.2 17.06 3.99 1.52
-14.0 -4.35 19.6 18.77 -4.25 1.68 33.6 -5.95 7.7 17.16 4.91 0.61
-14.0 -4.35 23.6 19.55 -4.05 1.87 33.6 -5.95 5.2 18.04 4.48 0.89
-16.0 -4.35 23.6 20.35 -3.05 1.86 33.6 -5.95 4.2 17.95 4.47 0.61
-16.0 -4.35 19.6 19.93 -3.23 1.81 33.6 -5.95 3.2 18.09 4.75 0.30
-16.0 -4.35 14.6 19.10 -2.99 1.52 33.6 -5.95 2.2 17.62 4.69 0.29
-16.0 -4.35 9.6 18.34 -2.93 1.35 33.6 -5.95 1.2 17.59 3.93 -0.12
-16.0 -4.35 7.1 18.38 -2.77 1.36 33.6 -5.95 0.6 15.62 3.24 -0.04
-16.0 -4.35 4.6 17.47 -2.94 1.54 33.6 -2.95 0.6 13.02 2.40 -0.15
-16.0 -4.35 3.6 17.17 -3.07 1.62 33.6 -2.95 1.2 14.14 2.54 -0.24
-16.0 -4.35 2.6 16.32 -2.86 1.65 33.6 -2.95 2.2 15.57 3.06 0.37
-16.0 -4.35 1.6 14.79 -3.15 2.18 33.6 -2.95 3.2 15.40 2.97 0.72
-16.0 -4.35 0.6 12.13 -3.85 2.39 33.6 -2.95 4.2 15.45 3.52 1.00
-16.0 -4.35 0.1 8.62 -4.02 1.88 33.6 -2.95 5.2 15.57 3.34 1.10
-16.0 -4.35 0.1 4.18 -4.71 0.82 33.6 -2.95 7.7 15.40 2.96 1.45
-18.0 -4.35 0.1 -0.68 -3.98 -1.33 33.6 -2.95 10.2 14.86 3.54 3.08
-18.0 -4.35 0.1 6.27 -3.79 0.54 33.6 -2.95 15.2 12.75 1.76 2.87
-18.0 -4.35 0.6 11.97 -3.08 1.75 33.6 -2.95 20.2 9.36 1.89 2.84
-18.0 -4.35 1.6 15.65 -2.14 1.38 33.6 -2.95 24.2 9.37 1.98 1.83
-18.0 -4.35 2.6 15.61 -1.86 1.10 33.6 0.06 24.2 8.53 0.51 2.24
-18.0 -4.35 3.6 18.11 -1.42 0.79 33.6 0.06 20.2 9.50 1.15 3.02
-18.0 -4.35 4.6 17.84 -1.70 0.84 33.6 0.06 15.2 11.71 0.98 3.37
-18.0 -4.35 7.1 18.96 -1.96 0.87 33.6 0.06 10.2 13.38 2.13 2.67
-18.0 -4.35 9.6 20.55 -2.10 0.90 33.6 0.06 7.7 13.33 1.37 1.62
-18.0 -4.35 14.6 21.15 -2.11 0.95 33.6 0.06 5.2 14.64 2.37 1.51
-18.0 -4.35 19.6 21.23 -2.14 1.20 33.6 0.06 4.2 14.49 2.37 0.53
-18.0 -4.35 23.6 21.58 -2.07 1.46 33.6 0.06 3.2 14.67 2.17 0.58
-23.0 -4.35 23.6 23.30 -0.88 1.04 33.6 0.06 2.2 14.57 2.15 0.44
-23.0 -4.35 19.6 22.41 -0.87 0.92 33.6 0.06 1.2 13.28 1.61 -0.10
-23.0 -4.35 14.6 22.26 -1.06 0.76 33.6 0.06 0.6 12.38 2.12 -0.11
-23.0 -4.35 9.6 21.83 -0.86 0.49 168.3 -88.05 11.5 20.53 1.06 -0.11
-23.0 -4.35 7.1 20.06 -0.94 0.60 168.3 -68.05 11.5 20.57 1.05 0.13
-23.0 -4.35 4.6 18.89 -0.98 0.52 168.3 -48.05 11.5 22.32 1.33 -0.07
-23.0 -4.35 3.6 17.85 -1.10 0.60 168.3 -38.05 11.5 22.45 1.51 -0.19
-23.0 -4.35 2.6 15.90 -1.03 0.53 168.3 -28.05 11.5 22.86 1.73 -0.17
-23.0 -4.35 1.6 13.53 -1.06 0.69 168.3 -18.05 11.5 22.11 1.30 0.12
-23.0 -4.35 0.6 10.49 -1.68 0.80 168.3 -13.05 11.5 21.69 1.66 0.62
-23.0 -4.35 0.1 5.16 -2.78 -0.19 168.3 -8.05 11.5 20.26 1.20 0.45
-23.0 -7.35 0.1 1.74 -3.84 -0.62 168.3 -3.05 11.5 20.47 1.10 0.60
-23.0 -7.35 0.6 11.63 -2.44 0.92 168.3 1.96 11.5 19.66 0.91 0.79
-23.0 -7.35 1.6 14.17 -1.76 0.98 168.3 6.96 11.5 19.97 0.82 0.47
-23.0 -7.35 2.6 16.15 -1.15 0.39 168.3 11.96 11.5 21.15 0.48 0.47
-23.0 -7.35 3.6 17.21 -1.28 0.66 168.3 16.96 11.5 21.32 0.75 0.29
-23.0 -7.35 4.6 17.05 -1.04 0.74 168.3 21.96 11.5 22.35 0.31 -0.08










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) IX (cm) IY (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s)
-23.0 -7.35 7.1 20.13 -0.98 0.61 168.3 31.96 11.5 23.18 0.51 0.27
-23.0 -7.35 9.6 21.55 -1.11 0.85 168.3 41.96 11.5 23.08 0.59 -0.05
-23.0 -7.35 14.6 22.92 -1.23 0.96 168.3 51.96 11.5 22.14 0.94 0.12
-23.0 -7.35 19.6 24.32 -1.21 0.97 168.3 71.96 11.5 21.57 1.03 0.34
-23.0 -7.35 23.6 24.54 -1.15 1.28 168.3 91.96 11.5 22.09 0.97 0.11
-18.0 -7.35 23.6 22.93 -2.58 1.82 -168.3 91.96 11.5 20.30 0.77 0.33
-18.0 -7.35 19.6 22.67 -2.78 1.67 -168.3 71.96 11.5 20.03 0.68 0.61
-18.0 -7.35 14.6 22.80 -2.53 1.10 -168.3 51.96 11.5 21.34 0.94 0.36
-18.0 -7.35 9.6 20.94 -2.30 0.77 -168.3 41.96 11.5 21.80 0.86 0.50
-18.0 -7.35 7.1 19.78 -2.31 0.86 -168.3 31.96 11.5 22.15 0.84 0.52
-18.0 -7.35 4.6 17.76 -2.10 0.73 -168.3 21.96 11.5 23.11 0.94 0.41
-18.0 -7.35 3.6 16.32 -2.23 0.82 -168.3 16.96 11.5 23.46 1.02 0.43
-18.0 -7.35 2.6 14.52 -2.29 1.16 -168.3 11.96 11.5 23.02 0.96 0.43
-18.0 -7.35 1.6 12.85 -2.73 1.35 -168.3 6.96 11.5 23.03 0.95 0.46
-18.0 -7.35 0.6 10.12 -3.46 1.64 -168.3 1.96 11.5 23.79 1.07 0.36
-18.0 -7.35 0.1 7.76 -4.12 1.40 -168.3 -3.05 11.5 23.42 0.82 0.51
-16.0 -7.35 23.6 22.41 -3.75 2.48 -168.3 -8.05 11.5 23.09 0.84 0.53
-16.0 -7.35 19.6 21.85 -3.69 2.19 -168.3 -13.05 11.5 23.41 0.80 0.29
-16.0 -7.35 14.6 21.52 -3.67 1.89 -168.3 -18.05 11.5 22.88 0.83 0.41
-16.0 -7.35 9.6 20.65 -3.44 1.74 -168.3 -28.05 11.5 22.91 0.75 0.18
-16.0 -7.35 7.1 19.43 -3.32 1.78 -168.3 -38.05 11.5 21.59 0.81 0.12
-16.0 -7.35 4.6 17.92 -2.99 1.62 -168.3 -48.05 11.5 20.84 0.94 0.08
-16.0 -7.35 3.6 18.02 -3.18 1.84 -168.3 -68.05 11.5 18.04 0.94 0.48
-16.0 -7.35 2.6 16.45 -3.03 1.87 -168.3 -88.05 11.5 18.13 1.08 0.38
-16.0 -7.35 1.6 14.63 -2.98 2.01 -9.0 0.16 0.1 3.32 -5.01 0.32
-16.0 -7.35 0.6 12.50 -3.83 2.43 -9.0 0.16 0.6 5.10 -1.39 -0.40
-16.0 -7.35 0.1 10.74 -4.55 2.38 -9.0 0.16 1.6 5.29 -3.21 0.43
-16.0 -7.35 0.1 9.17 -4.91 2.19 -9.0 0.16 2.6 5.26 -2.65 -0.09
-14.0 -7.35 0.1 6.17 -5.80 2.72 -9.0 0.16 3.6 3.25 -4.22 -1.14
-14.0 -7.35 0.1 8.99 -5.76 3.41 -9.0 0.16 4.6 4.57 -3.81 -0.34
-14.0 -7.35 0.6 11.43 -5.68 4.02 -9.0 0.16 7.1 4.28 -5.51 -0.69
-14.0 -7.35 1.6 14.03 -4.95 3.47 -9.0 0.16 9.6 4.59 -4.17 -0.19
-14.0 -7.35 2.6 15.39 -4.75 2.85 -9.0 0.16 14.6 5.44 -4.81 0.40
-14.0 -7.35 3.6 15.51 -4.33 2.35 -9.0 0.16 19.6 5.81 -4.95 0.35
-14.0 -7.35 4.6 16.91 -4.85 2.23 -9.0 0.16 23.6 5.97 -4.36 0.56
-14.0 -7.35 7.1 18.63 -4.72 1.93 -8.5 -9.85 23.6 26.44 -6.68 4.16
-14.0 -7.35 9.6 20.94 -5.13 1.95 -8.5 -9.85 19.6 26.00 -6.20 4.01
-14.0 -7.35 14.6 21.29 -4.94 2.08 -8.5 -9.85 14.6 25.29 -5.82 3.86
-14.0 -7.35 19.6 22.23 -5.24 2.56 -8.5 -9.85 9.6 25.40 -5.81 3.86
-14.0 -7.35 23.6 22.48 -4.94 2.94 -8.5 -9.85 7.1 24.75 -5.73 3.59
-12.5 -7.35 23.6 22.79 -6.26 3.31 -8.5 -9.85 4.6 24.48 -5.18 3.58
-12.5 -7.35 19.6 21.35 -6.16 3.01 -8.5 -9.85 3.6 23.42 -5.15 3.64
-12.5 -7.35 14.6 21.44 -6.30 2.67 -8.5 -9.85 2.6 23.09 -5.09 3.85
-12.5 -7.35 9.6 20.54 -6.00 1.89 -8.5 -9.85 1.6 21.57 -5.17 4.23
-12.5 -7.35 7.1 19.48 -5.57 1.80 -8.5 -9.85 0.6 11.56 -7.85 3.98
-12.5 -7.35 4.6 17.82 -5.19 2.02 -12.5 -13.85 1.1 17.94 -3.65 2.68










Table A-1 continued
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s)
-12.5 -7.35 3.6 16.80 -5.66 2.73 -12.5 -13.85 1.6 20.65 -3.05 3.05
-12.5 -7.35 2.6 15.68 -4.88 2.85 -12.5 -13.85 2.6 22.09 -2.64 2.74
-12.5 -7.35 1.6 14.35 -5.52 3.76 -12.5 -13.85 3.6 22.41 -2.52 2.68
-12.5 -7.35 0.6 10.44 -6.77 5.53 -12.5 -13.85 4.6 22.71 -2.64 2.79
-12.5 -7.35 0.1 5.86 -5.79 4.76 -12.5 -13.85 7.1 22.38 -2.61 1.95
-12.5 -7.35 0.1 5.25 -5.88 4.50 -12.5 -13.85 9.6 23.07 -2.88 2.22
-11.5 -7.35 0.1 3.55 -3.30 3.41 -12.5 -13.85 14.6 23.61 -3.08 2.32
-11.5 -7.35 0.1 6.36 -7.26 5.40 -12.5 -13.85 19.6 24.68 -3.16 2.25
-11.5 -7.35 0.6 10.16 -7.57 5.72 -12.5 -13.85 23.6 24.63 -3.28 2.54
-11.5 -7.35 1.6 14.58 -5.94 3.86 -16.5 -17.85 23.6 25.30 -1.76 1.99
-11.5 -7.35 2.6 17.43 -6.03 2.95 -16.5 -17.85 19.6 24.79 -1.61 1.74
-11.5 -7.35 3.6 17.34 -6.56 2.75 -16.5 -17.85 14.6 23.64 -1.72 1.64
-11.5 -7.35 4.6 18.02 -5.99 2.14 -16.5 -17.85 9.6 23.05 -1.49 1.61
-11.5 -7.35 7.1 20.42 -6.77 2.00 -16.5 -17.85 7.1 21.88 -1.34 1.56
-11.5 -7.35 9.6 20.35 -6.96 2.12 -16.5 -17.85 4.6 23.09 -1.33 2.12
-11.5 -7.35 14.6 22.06 -7.35 2.89 -16.5 -17.85 3.6 21.45 -1.38 2.10
-11.5 -7.35 19.6 22.33 -7.34 3.30 -16.5 -17.85 2.6 21.33 -1.51 2.27
-11.5 -7.35 23.6 22.60 -7.51 3.81 -16.5 -17.85 1.6 20.22 -1.56 2.24
-10.5 -7.35 23.6 23.50 -8.75 4.26 -16.5 -17.85 1.2 18.32 -2.19 1.81
-10.5 -7.35 19.6 22.75 -8.52 3.87 -20.5 -21.85 0.6 16.38 -1.94 1.06
-10.5 -7.35 14.6 22.45 -8.28 3.16 -20.5 -21.85 1.6 20.11 -0.77 1.66
-10.5 -7.35 9.6 20.88 -8.07 2.40 -20.5 -21.85 2.6 21.10 -0.87 1.66
-10.5 -7.35 7.1 19.53 -7.42 2.17 -20.5 -21.85 3.6 21.95 -0.68 1.75
-10.5 -7.35 4.6 18.76 -7.19 2.05 -20.5 -21.85 4.6 21.59 -0.52 1.61
-10.5 -7.35 3.6 18.27 -6.92 2.21 -20.5 -21.85 7.1 22.52 -0.70 1.62
-10.5 -7.35 2.6 17.52 -7.30 3.10 -20.5 -21.85 9.6 24.16 -0.60 1.67
-10.5 -7.35 1.6 14.99 -7.78 3.53 -20.5 -21.85 14.6 25.03 -0.74 1.70
-10.5 -7.35 0.6 9.38 -10.14 5.45 -20.5 -21.85 19.6 25.22 -0.65 1.76
-10.5 -7.35 0.1 3.56 -6.40 3.78 -20.5 -21.85 23.6 25.60 -0.63 1.77
-10.5 -7.35 0.1 2.43 -3.72 2.14__











Table A-2 Measured time-averaged velocities for the T = 1 hour scour hole.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm)IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-58.4 0.00 20.0 25.76 1.23 0.29 -9.2 -15.90 5.0 21.71 -4.15 1.17
-58.4 0.00 15.0 26.08 1.23 0.26 -9.2 -15.90 4.0 21.80 -3.83 0.81
-58.4 0.00 10.0 24.15 1.33 0.27 -9.2 -15.90 3.0 21.11 -3.94 0.82
-58.4 0.00 7.5 24.50 1.26 0.12 -9.2 -15.90 2.0 21.75 -3.78 0.69
-58.4 0.00 5.0 22.80 1.62 -0.25 -9.2 -15.90 1.0 22.22 -3.63 0.45
-58.4 0.00 4.0 22.61 1.45 -0.13 -9.2 -15.90 0.0 17.70 -4.18 -0.48
-58.4 0.00 3.0 23.19 1.55 -0.19 -9.2 -15.90 -1.0 14.84 -4.03 2.00
-58.4 0.00 2.0 22.31 1.14 -0.02 -8.0 -13.80 24.0 24.65 -5.11 4.31
-58.4 0.00 1.0 21.13 1.61 -0.49 -8.0 -13.80 20.0 23.64 -5.01 3.93
-58.4 0.00 0.3 11.77 -2.34 -0.17 -8.0 -13.80 15.0 23.46 -5.03 3.71
-43.4 0.00 0.7 17.83 0.33 -0.55 -8.0 -13.80 10.0 23.82 -5.10 2.70
-43.4 0.00 1.0 18.92 1.08 -0.59 -8.0 -13.80 7.5 23.98 -5.20 2.56
-43.4 0.00 2.0 21.01 0.79 -0.28 -8.0 -13.80 5.0 23.32 -4.89 1.80
-43.4 0.00 3.0 21.20 0.98 -0.42 -8.0 -13.80 4.0 23.26 -4.89 1.67
-43.4 0.00 4.0 22.33 0.95 -0.43 -8.0 -13.80 3.0 22.69 -4.90 1.30
-43.4 0.00 5.0 21.94 1.01 -0.48 -8.0 -13.80 2.0 22.88 -4.81 0.91
-43.4 0.00 7.5 23.21 1.06 -0.16 -8.0 -13.80 1.0 22.53 -4.90 0.73
-43.4 0.00 10.0 23.82 1.07 -0.24 -8.0 -13.80 0.0 22.06 -4.36 0.35
-43.4 0.00 15.0 24.45 1.23 0.11 -8.0 -13.80 -1.0 20.28 -4.91 0.48
-43.4 0.00 20.0 25.19 1.11 0.17 -8.0 -13.80 -2.0 3.45 -4.69 1.31
-43.4 0.00 24.0 25.87 1.08 0.26 -6.7 -11.60 -3.6 3.05 -5.44 2.63
-33.4 0.00 24.0 24.87 0.87 0.22 -6.7 -11.60 -3.0 8.73 -9.10 2.92
-33.4 0.00 20.0 24.97 0.70 -0.02 -6.7 -11.60 -2.0 16.77 -7.58 0.44
-33.4 0.00 15.0 23.54 0.83 -0.07 -6.7 -11.60 -1.0 17.91 -6.73 -0.04
-33.4 0.00 10.0 23.07 0.66 -0.42 -6.7 -11.60 0.0 19.53 -6.38 0.43
-33.4 0.00 7.5 21.40 0.95 -0.39 -6.7 -11.6 1.0 20.30 -6.18 0.87
-33.4 0.00 5.0 22.37 0.89 -0.33 -6.7 -11.60 2.0 20.25 -6.41 1.37
-33.4 0.00 4.0 20.90 1.08 -0.64 -6.7 -11.60 3.0 20.00 -6.33 1.61
-33.4 0.00 3.0 21.37 0.52 -0.39 -6.7 -11.60 4.0 20.20 -6.34 1.95
-33.4 0.00 2.0 19.50 0.56 -0.27 -6.7 -11.60 5.0 21.49 -6.63 2.28
-33.4 0.00 1.0 19.05 0.66 -0.44 -6.7 -11.60 7.5 20.88 -6.61 2.86
-33.4 0.00 0.0 0.83 -5.57 -1.90 -6.7 -11.60 10.0 20.88 -6.47 3.33
-28.4 0.00 24.0 24.18 0.97 0.07 -6.7 -11.60 15.0 21.11 -6.57 4.10
-28.4 0.00 20.0 23.99 0.75 -0.26 -6.7 -11.60 20.0 21.30 -6.51 4.84
-28.4 0.00 15.0 23.74 0.83 -0.49 -6.7 -11.60 24.0 21.40 -6.40 4.90
-28.4 0.00 10.0 23.21 0.62 -0.53 -6.2 -10.80 24.0 22.14 -7.38 5.68
-28.4 0.00 7.5 22.31 0.65 -0.62 -6.2 -10.80 20.0 21.33 -7.51 5.32
-28.4 0.00 5.0 22.16 0.72 -0.82 -6.2 -10.80 15.0 21.42 -7.60 4.68
-28.4 0.00 4.0 21.96 0.50 -0.63 -6.2 -10.80 10.0 21.16 -7.51 4.00
-28.4 0.00 3.0 20.87 0.62 -0.51 -6.2 -10.80 7.5 21.36 -7.54 3.37
-28.4 0.00 2.0 20.92 0.69 -0.59 -6.2 -10.80 5.0 21.26 -7.48 2.71
-28.4 0.00 1.0 20.09 1.00 -0.90 -6.2 -10.80 4.0 21.40 -7.49 2.44
-28.4 0.00 0.0 16.13 0.40 -0.71 -6.2 -10.80 3.0 21.01 -7.40 2.20
-28.4 0.00 -0.3 9.68 -2.58 -0.91 -6.2 -10.80 2.0 20.98 -7.45 1.75
-23.4 0.00 -0.4 14.66 -1.41 -0.59 -6.2 -10.80 1.0 20.69 -7.55 1.28










Table A-2 continued.
X (cm) Y (cm) Z (cm) U (cm/s)V (cm/s) W (cm/s) XII (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-23.4 0.00 0.0 18.27 0.16 -0.95 -6.2 -10.80 0.0 20.39 -7.49 0.76
-23.4 0.00 1.0 20.03 0.66 -1.25 -6.2 -10.80 -1.0 19.70 -7.84 0.55
-23.4 0.00 2.0 19.45 0.64 -1.25 -6.2 -10.80 -2.0 18.81 -8.56 0.66
-23.4 0.00 3.0 20.39 0.47 -1.42 -6.2 -10.80 -3.0 14.92 -10.12 2.83
-23.4 0.00 4.0 21.17 0.38 -1.40 -6.2 -10.80 -4.0 3.35 -5.70 2.73
-23.4 0.00 5.0 21.12 0.33 -1.35 -5.7 -9.90 24.0 19.32 -9.43 6.84
-23.4 0.00 7.5 22.11 0.18 -1.21 -5.7 -9.90 20.0 19.27 -9.60 6.56
-23.4 0.00 10.0 21.17 0.29 -1.06 -5.7 -9.9 15.0 19.22 -9.60 6.04
-23.4 0.00 15.0 22.19 0.46 -0.74 -5.7 -9.90 10.0 18.38 -9.51 5.06
-23.4 0.00 20.0 22.54 0.48 -0.46 -5.7 -9.90 7.5 18.97 -9.92 4.76
-23.4 0.00 24.0 23.74 0.60 -0.02 -5.7 -9.90 5.0 18.81 -9.77 3.90
-18.4 0.00 24.0 20.82 0.12 -0.50 -5.7 -9.90 4.0 19.09 -9.97 3.68
-18.4 0.00 20.0 21.07 -0.01 -0.70 -5.7 -9.90 3.0 18.93 -10.00 3.24
-18.4 0.00 15.0 20.04 -0.24 -1.45 -5.7 -9.90 2.0 17.61 -9.85 2.16
-18.4 0.00 10.0 19.70 -0.57 -1.59 -5.7 -9.90 1.0 18.62 -10.37 2.47
-18.4 0.00 7.5 19.45 -0.55 -1.97 -5.7 -9.90 0.0 18.02 -10.17 2.00
-18.4 0.00 5.0 18.28 -0.56 -2.69 -5.7 -9.90 -1.0 18.02 -10.53 1.72
-18.4 0.00 4.0 18.78 -0.69 -2.36 -5.7 -9.90 -2.0 17.78 -11.29 1.49
-18.4 0.00 3.0 17.97 -0.63 -2.27 -5.7 -9.90 -3.0 16.69 -11.96 2.01
-18.4 0.00 2.0 18.53 -0.59 -2.52 -5.7 -9.90 -4.0 11.19 -13.23 3.54
-18.4 0.00 1.0 18.24 -0.57 -2.48 -5.7 -9.90 -5.0 1.48 -1.62 0.80
-18.4 0.00 0.0 14.95 -1.02 -2.70 -5.2 -9.00 -5.3 6.49 -7.12 3.03
-18.4 0.00 -0.7 -0.77 -8.69 -2.78 -5.2 -9.00 -5.0 1.40 -12.30 1.86
-15.9 0.00 -2.2 3.34 1.78 -0.76 -5.2 -9.00 -4.0 15.59 -14.44 3.89
-15.9 0.00 -2.0 7.82 -1.32 -0.33 -5.2 -9.00 -3.0 16.68 -13.80 2.66
-15.9 0.00 -1.0 14.04 -3.79 -2.67 -5.2 -9.00 -2.0 17.84 -13.43 2.53
-15.9 0.00 0.0 15.22 -1.64 -3.60 -5.2 -9.00 -1.0 18.26 -13.15 2.99
-15.9 0.00 1.0 16.12 -1.84 -3.49 -5.2 -9.00 0.0 18.92 -13.29 3.42
-15.9 0.00 2.0 15.56 -1.48 -3.45 -5.2 -9.00 1.0 18.66 -12.38 3.65
-15.9 0.00 3.0 17.11 -1.55 -3.57 -5.2 -9.00 2.0 18.61 -12.14 3.92
-15.9 0.00 4.0 16.52 -1.62 -2.91 -5.2 -9.00 3.0 18.61 -12.04 4.21
-15.9 0.00 5.0 17.29 -1.72 -2.71 -5.2 -9.00 4.0 18.89 -11.86 4.90
-15.9 0.00 7.5 17.56 -1.37 -2.70 -5.2 -9.00 5.0 18.55 -11.83 5.07
-15.9 0.00 10.0 18.35 -1.24 -2.06 -5.2 -9.00 7.5 18.25 -11.17 5.61
-15.9 0.00 15.0 18.86 -0.95 -1.56 -5.2 -9 10.0 18.58 -11.39 6.60
-15.9 0.00 20.0 18.31 -0.46 -0.93 -5.2 -9.00 15.0 18.10 -11.01 7.21
-15.9 0.00 24.0 19.21 -0.32 -0.49 -5.2 -9.00 20.0 18.61 -11.19 7.65
-13.4 0.00 24.0 14.95 -0.74 -0.51 -5.2 -9.00 24.0 18.85 -11.47 7.79
-13.4 0.00 20.0 15.53 -1.02 -0.83 -4.7 -8.40 24.0 18.51 -13.13 8.88
-13.4 0.00 15.0 15.06 -1.43 -1.34 -4.7 -8.40 20.0 17.89 -12.53 8.37
-13.4 0.00 10.0 15.17 -1.72 -2.01 -4.7 -8.40 15.0 18.20 -12.77 8.05
-13.4 0.00 7.5 15.43 -1.99 -2.63 -4.7 -8.40 10.0 18.09 -12.75 7.14
-13.4 0.00 5.0 15.61 -2.52 -2.98 -4.7 -8.40 7.5 19.17 -11.32 6.67
-13.4 0.00 4.0 15.20 -2.56 -3.51 -4.7 -8.40 5.0 20.19 -7.11 5.65
-13.4 0.00 3.0 15.28 -2.57 -3.76 -4.7 -8.40 4.0 19.38 -11.64 5.72
-13.4 0.00 2.0 15.87 -2.90 -4.15 -4.7 -8.40 3.0 17.82 -7.69 4.36










Table A-2 continued.
X (cm)Y (cm) Z (cm) U (cm/s)V (cm/s) W (cm/s) IX (cm)Y (cm)lZ (cm) U (cm/s)V (cm/s) W (cm/s)
-13.4 0.00 1.0 14.97 -2.99 -4.41 -4.7 -8.40 1.0 13.33 -14.01 2.46
-13.4 0.00 0.0 15.43 -3.57 -4.69 -4.7 -8.40 0.0 15.70 -13.09 3.29
-13.4 0.00 -1.0 15.31 -3.74 -5.12 -4.7 -8.40 -1.0 12.70 -15.67 1.43
-13.4 0.00 -2.0 13.05 -4.10 -5.15 -4.7 -8.40 -2.0 14.91 -16.59 2.56
-13.4 0.00 -3.0 8.23 -3.99 -3.36 0.0 -58.40 24.0 21.62 -0.20 1.39
-13.4 0.00 -3.7 3.97 1.54 -0.88 0.0 -58.40 20.0 21.22 -0.01 1.36
-12.4 0.00 -4.3 1.88 -0.56 -0.35 0.0 -58.40 15.0 21.02 0.04 1.21
-12.4 0.00 -4.0 2.30 -2.97 -2.42 0.0 -58.40 10.0 19.84 -0.01 1.01
-12.4 0.00 -3.0 9.89 -4.21 -5.71 0.0 -58.40 7.5 20.05 -0.04 0.77
-12.4 0.00 -2.0 12.38 -4.37 -6.02 0.0 -58.40 5.0 18.76 -0.15 0.55
-12.4 0.00 -1.0 13.10 -4.53 -5.43 0.0 -58.40 4.0 19.26 -0.04 0.62
-12.4 0.00 0.0 12.52 -3.79 -5.43 0.0 -58.40 3.0 18.89 -0.25 0.69
-12.4 0.00 1.0 13.02 -3.88 -4.60 0.0 -58.40 2.0 18.23 -0.29 0.59
-12.4 0.00 2.0 13.34 -3.61 -4.42 0.0 -58.40 1.0 14.12 -1.11 -0.28
-12.4 0.00 3.0 13.46 -3.32 -4.08 0.0 -58.40 0.5 2.41 -4.81 -1.53
-12.4 0.00 4.0 13.35 -2.86 -3.97 0.0 -43.4 0.7 1.76 -5.20 -0.93
-12.4 0.00 5.0 13.30 -2.80 -3.87 0.0 -43.40 1.0 7.94 -2.99 -0.56
-12.4 0.00 7.5 13.90 -2.89 -2.81 0.0 -43.40 2.0 18.28 -0.65 1.05
-12.4 0.00 10.0 14.00 -2.37 -2.69 0.0 -43.40 3.0 18.17 -0.78 1.24
-12.4 0.00 15.0 14.13 -1.88 -1.72 0.0 -43.40 4.0 18.96 -0.48 1.10
-12.4 0.00 20.0 14.02 -1.45 -0.69 0.0 -43.40 5.0 19.20 -0.52 1.26
-12.4 0.00 24.0 14.45 -1.13 -0.50 0.0 -43.40 7.5 19.72 -0.38 1.30
-11.4 0.00 24.0 11.98 -1.69 -0.38 0.0 -43.40 10.0 20.36 -0.25 1.43
-11.4 0.00 20.0 11.79 -2.11 -0.73 0.0 -43.40 15.0 21.24 -0.40 1.45
-11.4 0.00 15.0 11.78 -2.69 -1.46 0.0 -43.40 20.0 21.60 -0.20 1.42
-11.4 0.00 10.0 11.87 -2.85 -2.78 0.0 -43.40 24.0 22.35 -0.32 1.48
-11.4 0.00 7.5 11.44 -3.37 -3.17 0.0 -33.40 24.0 21.82 -0.82 0.30
-11.4 0.00 5.0 11.84 -3.77 -3.83 0.0 -33.40 20.0 21.77 -0.71 0.20
-11.4 0.00 4.0 11.57 -3.75 -4.30 0.0 -33.40 15.0 21.36 -0.65 0.06
-11.4 0.00 3.0 10.88 -3.57 -4.79 0.0 -33.40 10.0 20.61 -0.58 0.28
-11.4 0.00 2.0 10.90 -4.83 -4.36 0.0 -33.40 7.5 19.81 -0.54 0.26
-11.4 0.00 1.0 10.57 -4.43 -5.33 0.0 -33.40 5.0 19.55 -0.66 0.18
-11.4 0.00 0.0 10.12 -4.63 -5.39 0.0 -33.40 4.0 19.42 -0.58 0.25
-11.4 0.00 -1.0 9.19 -4.71 -5.25 0.0 -33.40 3.0 19.68 -0.58 0.12
-11.4 0.00 -2.0 8.75 -5.00 -5.37 0.0 -33.40 2.0 18.65 -0.67 0.16
-11.4 0.00 -3.0 8.71 -3.23 -5.34 0.0 -33.40 1.0 17.40 -0.89 0.24
-11.4 0.00 -4.0 8.65 -3.53 -1.73 0.0 -33.40 0.2 16.87 -0.94 0.15
-11.4 0.00 -4.9 0.78 -0.63 -0.46 0.0 -28.40 0.3 17.49 -0.70 0.16
-10.4 0.00 24.0 10.79 -0.60 -1.89 0.0 -28.40 1.0 17.57 -0.88 0.18
-10.4 0.00 20.0 10.59 -1.32 -2.41 0.0 -28.40 2.0 18.31 -0.76 0.23
-10.4 0.00 15.0 9.83 -1.21 -2.92 0.0 -28.40 3.0 19.70 -0.70 0.09
-10.4 0.00 10.0 9.88 -1.73 -3.74 0.0 -28.40 4.0 19.18 -0.54 0.22
-10.4 0.00 7.5 9.69 -1.93 -4.19 0.0 -28.4 5.0 19.84 -0.69 0.13
-10.4 0.00 5.0 9.37 -2.45 -4.67 0.0 -28.40 7.5 20.75 -0.53 0.08
-10.4 0.00 4.0 9.30 -2.57 -5.27 0.0 -28.40 10.0 20.77 -0.72 0.20
-10.4 0.00 3.0 9.04 -3.15 -5.13 0.0 -28.40 15.0 21.58 -0.85 0.17










Table A-2 continued.
X (cm)IY (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s)V (cm/s) W (cm/s)
-10.4 0.00 2.0 9.69 -3.35 -5.75 0.0 -28.40 20.0 22.29 -0.88 0.12
-10.4 0.00 1.0 8.66 -3.61 -5.65 0.0 -28.40 24.0 22.55 -0.97 0.16
-10.4 0.00 0.0 7.97 -3.48 -6.35 0.0 -23.40 24.0 24.86 -1.24 -0.39
-10.4 0.00 -1.0 8.07 -3.56 -6.66 0.0 -23.40 20.0 24.53 -1.19 -0.45
-10.4 0.00 -2.0 6.99 -3.81 -6.43 0.0 -23.40 15.0 23.94 -1.01 -0.69
-10.4 0.00 -3.0 6.16 -2.95 -5.92 0.0 -23.40 10.0 23.19 -0.59 -0.51
-10.4 0.00 -4.0 5.58 -3.83 -4.59 0.0 -23.40 7.5 22.79 -0.53 -0.61
-10.4 0.00 -5.0 1.93 -1.77 -1.12 0.0 -23.40 5.0 22.59 -0.28 -0.48
-10.4 0.00 -5.2 0.48 -1.38 -1.02 0.0 -23.40 4.0 22.12 -0.55 -0.28
-9.4 0.00 -6.2 1.42 -1.84 -0.75 0.0 -23.40 3.0 21.88 -0.46 -0.34
-9.4 0.00 -6.0 2.57 -4.56 0.16 0.0 -23.40 2.0 20.75 -0.49 -0.13
-9.4 0.00 -5.0 2.64 -6.67 -4.88 0.0 -23.40 1.0 20.58 -0.71 -0.05
-9.4 0.00 -4.0 4.34 -4.30 -6.07 0.0 -23.40 0.2 19.72 -0.85 0.05
-9.4 0.00 -3.0 6.57 -2.67 -6.13 0.0 -18.40 -2.3 12.56 -0.29 0.18
-9.4 0.00 -2.0 5.34 -4.80 -6.39 0.0 -18.40 -2.0 14.78 -0.70 -0.11
-9.4 0.00 -1.0 6.24 -3.73 -6.13 0.0 -18.40 -1.0 18.18 0.46 -0.61
-9.4 0.00 0.0 5.59 -4.83 -5.80 0.0 -18.40 0.0 20.78 0.63 -0.69
-9.4 0.00 1.0 5.77 -4.18 -5.81 0.0 -18.40 1.0 21.56 0.22 -0.73
-9.4 0.00 2.0 5.79 -4.33 -5.28 0.0 -18.40 2.0 22.28 0.19 -0.86
-9.4 0.00 3.0 5.80 -3.61 -5.09 0.0 -18.40 3.0 23.07 0.04 -0.96
-9.4 0.00 4.0 5.94 -3.39 -4.39 0.0 -18.40 4.0 23.28 -0.04 -1.06
-9.4 0.00 5.0 5.90 -3.00 -4.98 0.0 -18.40 5.0 23.64 -0.27 -1.23
-9.4 0.00 7.5 6.35 -2.57 -4.11 0.0 -18.40 7.5 23.87 -0.52 -1.18
-9.4 0.00 10.0 6.39 -2.09 -3.34 0.0 -18.4 10.0 24.60 -0.97 -1.41
-9.4 0.00 15.0 6.47 -1.57 -2.44 0.0 -18.40 15.0 24.91 -1.48 -1.27
-9.4 0.00 20.0 6.67 -0.83 -2.15 0.0 -18.40 20.0 25.47 -1.81 -0.89
-9.4 0.00 24.0 6.87 -0.57 -1.46 0.0 -18.40 24.0 26.08 -1.91 -0.75
-8.9 0.00 24.0 5.37 -0.62 -1.61 0.0 -15.90 24.0 25.89 -2.50 -0.78
-8.9 0.00 20.0 5.18 -0.69 -2.22 0.0 -15.90 20.0 25.74 -2.60 -1.07
-8.9 0.00 15.0 5.15 -1.61 -2.56 0.0 -15.90 15.0 25.00 -2.16 -1.34
-8.9 0.00 10.0 4.86 -2.24 -3.47 0.0 -15.90 10.0 24.00 -1.42 -1.58
-8.9 0.00 7.5 4.69 -2.14 -3.73 0.0 -15.90 7.5 24.01 -1.18 -1.79
-8.9 0.00 5.0 4.72 -3.72 -4.18 0.0 -15.90 5.0 23.65 -0.41 -1.80
-8.9 0.00 4.0 4.54 -3.30 -4.68 0.0 -15.90 4.0 22.97 -0.48 -1.78
-8.9 0.00 3.0 4.66 -4.13 -4.67 0.0 -15.90 3.0 23.05 -0.39 -1.71
-8.9 0.00 2.0 4.59 -3.80 -5.25 0.0 -15.90 2.0 22.50 0.12 -1.84
-8.9 0.00 1.0 4.81 -4.29 -5.08 0.0 -15.90 1.0 21.50 0.29 -1.60
-8.9 0.00 0.0 4.91 -6.44 -4.72 0.0 -15.90 0.0 20.87 0.65 -1.34
-8.9 0.00 -1.0 8.35 -4.93 -2.76 0.0 -15.90 -1.0 19.73 0.83 -1.28
-8.9 0.00 -2.0 -0.43 -10.54 -3.12 0.0 -15.90 -2.0 17.52 1.17 -0.89
-8.9 0.00 -3.0 -1.98 -7.69 -6.58 0.0 -15.90 -3.0 14.93 0.09 0.14
-8.9 0.00 -4.0 0.67 -4.16 -6.75 0.0 -15.90 -4.0 12.71 -1.08 1.28
-8.9 0.00 -5.0 3.36 -5.94 -3.84 0.0 -13.40 -5.7 14.75 -4.13 -2.18
-8.9 0.00 -6.0 3.06 -7.50 -0.06 0.0 -13.40 -5.0 16.38 -3.28 -2.52
-8.9 0.00 -6.2 2.88 -7.14 0.49 0.0 -13.40 -4.0 17.41 -0.43 -3.29
-50.6 -29.20 24.0 22.63 0.07 0.95 0.0 -13.40 -3.0 19.20 1.29 -3.49

29










Table A-2 continued.
X (cm) Y (cm) Z (cm) IU (cm/s) IV (cm/s) W (cm/s) IX (cm) IY (cm) Z (cm) IU (cm/s) IV (cm/s) W (cm/s)
-50.6 -29.20 20.0 21.37 0.14 0.71 0.0 -13.40 -2.0 21.09 1.41 -3.38
-50.6 -29.20 15.0 21.07 0.20 0.40 0.0 -13.40 -1.0 21.73 1.06 -2.84
-50.6 -29.20 10.0 20.46 0.68 0.19 0.0 -13.40 0.0 22.94 0.59 -2.92
-50.6 -29.20 7.5 20.43 0.55 0.20 0.0 -13.40 1.0 23.74 0.24 -2.74
-50.6 -29.20 5.0 19.60 0.59 0.21 0.0 -13.4 2.0 23.67 -0.36 -3.10
-50.6 -29.20 4.0 18.36 0.54 0.08 0.0 -13.40 3.0 24.26 -0.55 -2.69
-50.6 -29.20 3.0 18.50 0.62 0.18 0.0 -13.40 4.0 24.62 -0.49 -2.59
-50.6 -29.20 2.0 18.24 0.60 0.15 0.0 -13.40 5.0 25.05 -1.05 -2.52
-50.6 -29.20 1.0 15.95 0.42 0.06 0.0 -13.40 7.5 25.83 -1.57 -2.56
-50.6 -29.20 0.5 10.31 -1.38 -0.81 0.0 -13.40 10.0 26.08 -2.03 -2.28
-37.6 -21.70 24.0 25.44 0.40 1.18 0.0 -13.40 15.0 25.81 -2.60 -1.76
-37.6 -21.70 20.0 25.55 0.25 1.03 0.0 -13.40 20.0 26.53 -2.92 -1.44
-37.6 -21.70 15.0 24.69 0.47 0.50 0.0 -13.40 24.0 27.17 -3.36 -1.05
-37.6 -21.70 10.0 23.01 0.50 0.34 0.0 -12.40 24.0 28.08 -3.64 -1.21
-37.6 -21.70 7.5 23.17 0.68 0.30 0.0 -12.40 20.0 27.55 -3.32 -1.38
-37.6 -21.70 5.0 22.78 0.78 0.09 0.0 -12.40 15.0 26.68 -3.12 -1.94
-37.6 -21.70 4.0 22.45 0.72 0.05 0.0 -12.40 10.0 26.42 -2.31 -2.49
-37.6 -21.70 3.0 21.28 0.72 0.13 0.0 -12.40 7.5 26.78 -1.80 -2.94
-37.6 -21.70 2.0 20.56 0.57 0.14 0.0 -12.40 5.0 25.99 -0.79 -3.07
-37.6 -21.70 1.0 18.87 0.52 0.00 0.0 -12.40 4.0 26.43 -0.77 -3.34
-37.6 -21.70 0.5 17.24 -0.33 0.17 0.0 -12.40 3.0 25.56 -0.30 -3.35
-28.9 -16.70 0.3 17.50 -1.27 0.52 0.0 -12.40 2.0 24.70 0.06 -3.13
-28.9 -16.70 1.0 20.29 0.12 0.13 0.0 -12.40 1.0 24.36 0.40 -3.24
-28.9 -16.70 2.0 19.38 0.48 -0.11 0.0 -12.40 0.0 23.58 0.70 -3.27
-28.9 -16.70 3.0 21.00 0.23 0.02 0.0 -12.40 -1.0 22.30 0.91 -3.07
-28.9 -16.70 4.0 21.72 0.26 0.06 0.0 -12.40 -2.0 21.11 1.05 -3.34
-28.9 -16.70 5.0 21.06 0.46 0.10 0.0 -12.40 -3.0 20.07 0.94 -3.66
-28.9 -16.70 7.5 22.92 0.03 0.37 0.0 -12.40 -4.0 18.63 0.21 -3.79
-28.9 -16.70 10.0 23.90 0.21 0.45 0.0 -12.40 -5.0 17.31 -2.66 -2.98
-28.9 -16.70 15.0 23.78 0.08 0.61 0.0 -12.40 -5.9 12.96 -4.97 -1.85
-28.9 -16.70 20.0 25.10 -0.03 1.17 16.8 -30.00 24.0 23.84 0.47 -0.17
-28.9 -16.70 24.0 26.51 -0.15 1.32 16.8 -30 20.0 23.70 0.61 -0.25
-24.6 -14.20 24.0 25.97 -0.46 1.38 16.8 -30.00 15.0 22.43 0.60 -0.07
-24.6 -14.20 20.0 25.22 -0.38 0.77 16.8 -30.00 10.0 21.90 0.66 0.05
-24.6 -14.20 15.0 23.92 -0.29 1.00 16.8 -30.00 7.5 21.87 0.71 0.04
-24.6 -14.20 10.0 22.02 -0.18 0.21 16.8 -30.00 5.0 20.51 0.61 0.13
-24.6 -14.20 7.5 21.59 -0.41 0.33 16.8 -30.00 4.0 21.06 0.41 0.07
-24.6 -14.20 5.0 21.01 -0.38 0.16 16.8 -30.00 3.0 19.88 0.53 0.13
-24.6 -14.20 4.0 20.38 -0.37 0.19 16.8 -30.00 2.0 19.73 0.42 0.06
-24.6 -14.20 3.0 19.76 -0.32 0.06 16.8 -30.00 1.0 19.47 0.53 -0.06
-24.6 -14.20 2.0 19.55 -0.12 -0.07 16.8 -30.00 0.3 18.45 0.39 -0.03
-24.6 -14.20 1.0 18.03 -0.72 0.22 16.8 -23.00 -1.2 14.50 0.04 -1.45
-24.6 -14.20 0.3 14.02 -2.18 0.43 16.8 -23.00 -1.0 15.55 0.14 -1.38
-20.3 -11.70 0.0 11.82 -3.46 0.24 16.8 -23.00 0.0 17.03 -0.05 -0.59
-20.3 -11.70 1.0 18.05 -0.63 0.15 16.8 -23.00 1.0 18.96 0.04 -0.09
-20.3 -11.70 2.0 18.88 -0.92 0.09 16.8 -23.00 2.0 19.76 0.55 0.39










Table A-2 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) II (cm) IY (cm) z (cm) U (cm/s) V (cm/s) W (cm/s)
-20.3 -11.70 3.0 19.16 -0.86 0.08 16.8 -23.00 3.0 20.67 0.50 0.42
-20.3 -11.70 4.0 19.61 -1.18 0.23 16.8 -23.00 4.0 21.21 0.83 0.35
-20.3 -11.70 5.0 20.73 -1.19 0.00 16.8 -23.00 5.0 21.62 0.95 0.42
-20.3 -11.70 7.5 20.45 -0.87 0.11 16.8 -23.00 7.5 22.48 1.10 0.22
-20.3 -11.70 10.0 23.09 -0.93 -0.02 16.8 -23.00 10.0 22.90 1.05 0.01
-20.3 -11.70 15.0 22.71 -1.09 0.58 16.8 -23.00 15.0 23.49 0.90 -0.09
-20.3 -11.70 20.0 25.13 -1.36 1.26 16.8 -23.00 20.0 23.88 0.84 -0.18
-20.3 -11.70 24.0 24.68 -1.24 1.40 16.8 -23.00 24.0 24.43 0.77 -0.22
-15.9 -9.20 24.0 23.47 -2.56 2.02 16.8 -18.00 24.0 25.09 0.83 -0.45
-15.9 -9.20 20.0 22.87 -2.47 1.39 16.8 -18.00 20.0 24.93 0.89 -0.56
-15.9 -9.20 15.0 21.95 -2.74 0.74 16.8 -18.00 15.0 24.11 1.14 -0.52
-15.9 -9.20 10.0 21.08 -2.60 0.59 16.8 -18.00 10.0 24.03 1.55 -0.36
-15.9 -9.20 7.5 20.16 -2.30 -0.12 16.8 -18 7.5 23.21 1.72 0.10
-15.9 -9.20 5.0 18.71 -1.87 -0.49 16.8 -18.00 5.0 22.60 1.80 0.62
-15.9 -9.20 4.0 19.70 -2.70 -0.18 16.8 -18.00 4.0 22.41 1.60 0.84
-15.9 -9.20 3.0 18.59 -2.28 -0.30 16.8 -18.00 3.0 21.34 1.34 1.19
-15.9 -9.20 2.0 18.89 -2.10 -0.46 16.8 -18.00 2.0 20.50 0.70 1.53
-15.9 -9.20 1.0 17.49 -2.04 -0.21 16.8 -18.00 1.0 18.68 -0.44 1.76
-15.9 -9.20 0.0 10.22 -4.49 -1.06 16.8 -18.00 0.2 17.42 -1.87 1.98
-13.8 -8.00 24.0 20.71 -3.53 2.37 16.8 -15.00 0.0 16.62 0.37 3.28
-13.8 -8.00 20.0 20.69 -3.73 2.10 16.8 -15.00 1.0 18.41 1.51 2.85
-13.8 -8.00 15.0 20.36 -3.68 1.41 16.8 -15.00 2.0 20.14 2.29 2.14
-13.8 -8.00 10.0 20.02 -3.61 0.50 16.8 -15.00 3.0 21.54 2.77 1.65
-13.8 -8.00 7.5 19.42 -3.85 0.36 16.8 -15.00 4.0 22.43 2.91 1.15
-13.8 -8.00 5.0 18.65 -3.40 -0.28 16.8 -15.00 5.0 23.20 2.82 0.52
-13.8 -8.00 4.0 18.80 -3.59 -0.55 16.8 -15.00 7.5 23.51 2.72 -0.28
-13.8 -8.00 3.0 19.43 -3.59 -0.72 16.8 -15.00 10.0 24.26 2.26 -0.98
-13.8 -8.00 2.0 18.81 -3.77 -0.59 16.8 -15.00 15.0 24.76 1.46 -0.95
-13.8 -8.00 1.0 17.86 -3.47 -0.83 16.8 -15.00 20.0 24.94 1.18 -0.68
-13.8 -8.00 0.0 17.81 -3.32 -1.20 16.8 -15.00 24.0 25.38 0.95 -0.44
-13.8 -8.00 -1.0 17.98 -4.00 0.84 16.8 -12.00 24.0 23.75 1.41 -0.53
-13.8 -8.00 -1.5 7.83 -3.53 0.74 16.8 -12.00 20.0 24.01 1.59 -0.67
-11.6 -6.70 -3.0 3.75 -2.75 1.11 16.8 -12.00 15.0 22.47 1.84 -1.12
-11.6 -6.70 -2.0 14.34 -7.12 -1.14 16.8 -12.00 10.0 23.37 3.27 -1.82
-11.6 -6.70 -1.0 15.43 -6.11 -2.02 16.8 -12.00 7.5 23.09 3.96 -1.10
-11.6 -6.70 0.0 15.77 -5.84 -1.52 16.8 -12.00 5.0 22.86 4.77 0.26
-11.6 -6.70 1.0 16.05 -5.84 -1.34 16.8 -12.00 4.0 22.44 5.04 0.94
-11.6 -6.70 2.0 17.76 -6.07 -1.13 16.8 -12.00 3.0 21.45 4.80 1.88
-11.6 -6.70 3.0 16.25 -5.87 -0.60 16.8 -12.00 2.0 20.38 4.66 2.45
-11.6 -6.70 4.0 17.13 -6.10 -0.26 16.8 -12 1.0 18.37 4.05 2.93
-11.6 -6.70 5.0 17.49 -5.77 -0.38 16.8 -12.00 0.0 16.45 3.22 3.52
-11.6 -6.70 7.5 17.65 -5.54 0.06 16.8 -12.00 -0.7 14.46 2.31 4.43
-11.6 -6.70 10.0 18.12 -5.78 0.66 16.8 -9.00 -1.5 12.67 4.79 4.20
-11.6 -6.70 15.0 18.15 -5.17 1.45 16.8 -9.00 -1.0 14.77 4.82 4.37
-11.6 -6.70 20.0 18.69 -5.33 2.32 16.8 -9.00 0.0 16.59 6.07 3.74
-11.6 -6.70 24.0 19.38 -5.14 2.87 16.8 -9.00 1.0 18.09 6.92 3.31










Table A-2 continued.
X (cm) Y (cm) Z (cm) IU (cm/s) V (cm/s) IW (cm/s) IX (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-10.8 -6.20 24.0 18.12 -5.88 3.51 16.8 -9.00 2.0 20.17 7.68 2.76
-10.8 -6.20 20.0 17.48 -5.86 2.94 16.8 -9.00 3.0 20.91 7.73 1.86
-10.8 -6.20 15.0 17.38 -6.31 2.44 16.8 -9.00 4.0 20.91 7.74 1.18
-10.8 -6.20 10.0 16.92 -6.18 1.47 16.8 -9.00 5.0 21.44 7.52 0.16
-10.8 -6.20 7.5 17.26 -6.45 0.95 16.8 -9.00 7.5 18.92 5.28 -1.36
-10.8 -6.20 5.0 17.56 -6.63 0.29 16.8 -9.00 10.0 17.20 3.71 -1.82
-10.8 -6.20 4.0 16.37 -6.73 -0.10 16.8 -9.00 15.0 16.06 2.04 -0.17
-10.8 -6.20 3.0 17.28 -6.90 -0.30 16.8 -9.00 20.0 15.90 2.04 0.70
-10.8 -6.20 2.0 16.73 -6.88 -1.14 16.8 -9.00 24.0 16.59 2.60 0.21
-10.8 -6.20 1.0 16.50 -7.05 -1.26 16.8 -6.00 24.0 5.49 1.76 2.83
-10.8 -6.20 0.0 15.39 -7.12 -1.68 16.8 -6.00 20.0 7.37 2.45 3.15
-10.8 -6.20 -1.0 15.24 -7.47 -2.05 16.8 -6.00 15.0 6.91 0.14 4.63
-10.8 -6.20 -2.0 15.20 -8.92 -2.20 16.8 -6.00 10.0 8.12 -2.45 3.67
-10.8 -6.20 -3.0 10.85 -9.02 0.56 16.8 -6.00 7.5 10.09 2.87 1.22
-10.8 -6.20 -3.6 3.27 -4.05 1.42 16.8 -6.00 5.0 14.07 7.80 0.46
-9.9 -5.70 -4.5 1.40 -4.57 0.91 16.8 -6.00 4.0 15.42 9.64 1.34
-9.9 -5.70 -4.0 7.45 -6.09 1.28 16.8 -6.00 3.0 16.74 10.79 1.93
-9.9 -5.70 -3.0 11.27 -10.25 -1.18 16.8 -6.00 2.0 17.64 11.73 2.81
-9.9 -5.70 -2.0 12.63 -9.67 -1.91 16.8 -6.00 1.0 17.41 11.62 3.83
-9.9 -5.70 -1.0 13.61 -9.19 -1.84 16.8 -6.00 0.0 17.33 11.05 4.91
-9.9 -5.70 0.0 13.38 -8.89 -1.16 16.8 -6.00 -1.0 15.44 9.60 5.34
-9.9 -5.70 1.0 13.52 -8.79 -0.87 16.8 -6.00 -1.8 11.96 5.85 4.91
-9.9 -5.70 2.0 14.42 -8.88 -0.58 16.8 -3.00 -1.5 10.76 10.59 6.40
-9.9 -5.70 3.0 13.20 -8.19 -0.28 16.8 -3.00 -1.0 13.59 12.31 6.99
-9.9 -5.70 4.0 14.09 -8.77 0.24 16.8 -3.00 0.0 14.72 13.30 6.53
-9.9 -5.70 5.0 14.31 -8.25 0.13 16.8 -3.00 1.0 15.10 14.17 6.08
-9.9 -5.70 7.5 14.16 -7.83 0.70 16.8 -3.00 2.0 14.59 12.88 5.84
-9.9 -5.70 10.0 15.05 -8.04 1.24 16.8 -3.00 3.0 12.84 9.83 4.74
-9.9 -5.70 15.0 15.38 -8.11 2.45 16.8 -3.00 4.0 11.88 7.77 5.48
-9.9 -5.70 20.0 15.51 -7.59 3.29 16.8 -3.00 5.0 7.93 3.09 4.93
-9.9 -5.70 24.0 16.43 -7.63 3.46 16.8 -3.00 7.5 6.36 -3.37 7.90
-9.0 -5.20 24.0 14.36 -8.70 4.25 16.8 -3.00 10.0 4.76 -5.16 8.93
-9.0 -5.20 20.0 14.38 -9.22 3.75 16.8 -3.00 15.0 2.44 -3.02 8.49
-9.0 -5.20 15.0 13.68 -8.81 3.00 16.8 -3.00 20.0 2.56 3.01 5.77
-9.0 -5.20 10.0 13.00 -9.31 1.66 16.8 -3.00 24.0 2.44 2.43 3.74
-9.0 -5.20 7.5 13.27 -10.14 1.48 16.8 0.00 24.0 -0.37 2.50 2.99
-9.0 -5.20 5.0 12.98 -10.07 0.44 16.8 0.00 20.0 0.13 2.77 3.39
-9.0 -5.20 4.0 12.50 -9.73 0.00 16.8 0.00 15.0 1.20 -1.66 5.52
-9.0 -5.20 3.0 12.90 -10.64 -0.46 16.8 0.00 10.0 4.55 -8.07 10.27
-9.0 -5.20 2.0 12.80 -10.07 -0.82 16.8 0.00 7.5 6.68 -7.60 12.52
-9.0 -5.20 1.0 11.95 -10.33 -0.88 16.8 0.00 5.0 8.27 -4.28 10.92
-9.0 -5.20 0.0 12.09 -10.49 -1.63 16.8 0.00 4.0 8.91 1.19 9.75
-9.0 -5.20 -1.0 11.37 -10.73 -1.69 16.8 0.00 3.0 9.73 4.16 9.65
-9.0 -5.20 -2.0 11.15 -11.24 -1.84 16.8 0.00 2.0 11.01 8.63 8.61
-9.0 -5.20 -3.0 9.72 -11.23 -1.60 16.8 0.00 1.0 10.80 8.62 6.98
-9.0 -5.20 -4.0 7.55 -10.34 0.20 16.8 0.00 0.0 12.38 11.21 8.15










Table A-2 continued.
X (cm) Y (cm)lZ (cm) U (cm/s) IV (cm/s) W (cm/s) XI (cm) Y (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s)
-9.0 -5.20 -4.9 3.68 -5.90 1.56 16.8 0.00 -1.0 12.42 10.61 7.28
-8.2 -4.70 24.0 10.41 -9.20 4.06 16.8 0.00 -1.3 12.01 9.70 7.15
-8.2 -4.70 20.0 10.19 -8.98 3.41 33.7 0.00 1.7 15.24 2.67 -0.37
-8.2 -4.70 15.0 9.55 -9.18 3.13 33.7 0.00 2.0 15.23 3.45 -0.23
-8.2 -4.70 10.0 9.29 -9.10 2.38 33.7 0.00 3.0 16.94 4.82 0.51
-8.2 -4.70 7.5 9.35 -8.84 1.56 33.7 0.00 4.0 18.08 5.30 1.27
-8.2 -4.70 5.0 9.32 -9.10 1.40 33.7 0.00 5.0 18.22 6.10 2.21
-8.2 -4.70 4.0 8.96 -8.28 0.21 33.7 0.00 7.5 17.22 5.45 4.01
-8.2 -4.70 3.0 10.52 -10.62 1.18 33.7 0.00 10.0 16.24 1.11 4.89
-8.2 -4.70 2.0 10.20 -10.33 0.17 33.7 0.00 15.0 14.70 -4.32 7.09
-8.2 -4.70 1.0 10.48 -10.91 -0.19 33.7 0.00 20.0 9.93 -1.26 5.55
-8.2 -4.70 0.0 10.33 -11.60 -0.25 33.7 0.00 24.0 7.67 0.75 3.62
-8.2 -4.70 -1.0 9.89 -12.00 -1.38 33.7 -3.00 24.0 8.01 0.79 3.43
-8.2 -4.70 -2.0 9.50 -12.42 -1.48 33.7 -3.00 20.0 9.40 -1.86 4.68
-8.2 -4.70 -3.0 9.43 -12.89 -0.73 33.7 -3.00 15.0 12.60 -2.25 4.90
-8.2 -4.70 -4.0 5.83 -13.51 -0.94 33.7 -3.00 10.0 14.41 3.86 3.09
-8.2 -4.70 -5.0 2.78 -9.14 1.06 33.7 -3.00 7.5 17.31 6.57 3.23
-8.2 -4.70 -5.3 3.34 -3.38 1.11 33.7 -3.00 5.0 18.56 6.88 1.95
-7.7 -4.50 -5.7 2.62 -6.81 1.34 33.7 -3.00 4.0 15.81 5.90 1.59
-7.7 -4.50 -5.0 4.71 -11.92 1.68 33.7 -3.00 3.0 12.35 4.00 0.85
-7.7 -4.50 -4.0 6.92 -14.73 0.19 33.7 -3.00 2.0 8.70 1.89 0.45
-7.7 -4.50 -3.0 7.74 -14.64 -0.62 33.7 -3.00 1.6 7.00 1.11 0.37
-7.7 -4.50 -2.0 10.40 -9.03 0.49 33.7 -6.00 24.0 10.74 0.23 3.01
-7.7 -4.50 -1.0 8.35 -12.61 -0.45 33.7 -6.00 20.0 11.20 -0.73 3.42
-7.7 -4.50 0.0 8.69 -12.95 0.05 33.7 -6.00 15.0 12.74 -1.08 1.61
-7.7 -4.50 1.0 9.12 -13.13 0.80 33.7 -6.00 10.0 15.09 3.86 0.82
-7.7 -4.50 2.0 8.75 -12.47 1.19 33.7 -6.00 7.5 16.12 4.84 0.14
-7.7 -4.50 3.0 9.09 -11.42 1.94 33.7 -6.00 5.0 19.65 6.52 1.48
-7.7 -4.50 4.0 8.64 -11.63 1.77 33.7 -6.00 4.0 18.77 5.51 1.45
-7.7 -4.50 5.0 8.92 -11.65 2.43 33.7 -6.00 3.0 16.32 4.87 0.88
-7.7 -4.50 7.5 8.57 -10.68 2.67 33.7 -6.00 2.0 8.27 3.75 1.29
-7.7 -4.50 10.0 8.73 -10.70 3.54 33.7 -6.00 1.0 3.79 3.06 0.98
-7.7 -4.50 15.0 8.39 -9.51 4.22 33.7 -9.00 1.2 8.92 6.46 -0.35
-7.7 -4.50 20.0 8.28 -9.05 4.32 33.7 -9.00 2.0 15.18 3.47 -1.04
-7.7 -4.50 24.0 8.67 -9.34 4.49 33.7 -9.00 3.0 20.62 3.94 -0.66
-29.2 -50.60 24.0 22.43 -0.72 1.02 33.7 -9.00 4.0 21.35 4.58 0.01
-29.2 -50.60 20.0 21.50 -0.72 0.87 33.7 -9.00 5.0 22.03 5.49 0.06
-29.2 -50.60 15.0 21.27 -0.41 0.88 33.7 -9.00 7.5 18.86 4.77 -0.39
-29.2 -50.60 10.0 20.43 -0.25 0.53 33.7 -9.00 10.0 17.48 3.89 -0.44
-29.2 -50.60 7.5 19.82 -0.50 0.64 33.7 -9.00 15.0 14.18 0.98 -0.36
-29.2 -50.60 5.0 19.53 -0.43 0.62 33.7 -9.00 20.0 14.40 0.49 1.06
-29.2 -50.60 4.0 19.24 -0.65 0.71 33.7 -9.00 24.0 15.17 1.83 1.44
-29.2 -50.60 3.0 19.68 -0.44 0.40 33.7 -12.00 24.0 18.52 1.99 0.64
-29.2 -50.60 2.0 18.45 -0.51 0.48 33.7 -12.00 20.0 18.54 1.65 0.13
-29.2 -50.60 1.0 17.01 -0.72 0.44 33.7 -12.00 15.0 18.57 1.98 -1.13
-29.2 -50.60 0.5 8.08 -3.15 -0.93 33.7 -12.00 10.0 19.97 3.55 -0.78










Table A-2 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) IX (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-21.7 -37.60 0.5 13.16 -3.52 1.25 33.7 -12.00 7.5 21.66 4.39 -0.93
-21.7 -37.60 1.0 16.71 -1.11 0.77 33.7 -12.00 5.0 22.23 4.47 -0.49
-21.7 -37.60 2.0 17.88 -1.04 0.91 33.7 -12.00 4.0 21.08 4.54 -0.44
-21.7 -37.60 3.0 18.74 -0.97 0.89 33.7 -12.00 3.0 21.11 4.67 -0.53
-21.7 -37.60 4.0 19.74 -0.91 0.81 33.7 -12.00 2.0 19.08 4.88 -0.92
-21.7 -37.60 5.0 19.76 -0.92 0.94 33.7 -12.00 1.0 14.30 6.51 -0.52
-21.7 -37.60 7.5 20.51 -0.84 0.85 33.7 -12.00 0.6 10.08 5.31 0.12
-21.7 -37.60 10.0 20.39 -0.71 0.90 33.7 -15.00 0.0 10.56 4.25 0.36
-21.7 -37.60 15.0 21.12 -0.55 0.99 33.7 -15.00 1.0 15.54 4.00 0.12
-21.7 -37.60 20.0 21.49 -0.68 1.24 33.7 -15.00 2.0 19.53 3.72 -0.02
-21.7 -37.60 24.0 22.58 -0.65 1.18 33.7 -15.00 3.0 20.67 3.68 -0.04
-16.7 -28.90 24.0 22.81 -1.31 1.32 33.7 -15.00 4.0 21.76 3.97 -0.24
-16.7 -28.90 20.0 22.14 -1.32 1.40 33.7 -15.00 5.0 22.53 4.07 -0.31
-16.7 -28.90 15.0 21.65 -1.27 1.29 33.7 -15.00 7.5 22.39 3.56 -0.40
-16.7 -28.90 10.0 20.72 -1.27 1.13 33.7 -15.00 10.0 22.15 3.20 -0.98
-16.7 -28.90 7.5 20.97 -1.28 1.09 33.7 -15.00 15.0 21.22 2.23 -1.09
-16.7 -28.90 5.0 20.13 -1.22 0.99 33.7 -15.00 20.0 21.67 1.97 -0.69
-16.7 -28.90 4.0 20.60 -1.61 1.10 33.7 -15.00 24.0 22.51 1.81 -0.28
-16.7 -28.90 3.0 19.81 -1.18 0.88 33.7 -18.00 24.0 23.87 1.60 -0.45
-16.7 -28.90 2.0 18.98 -1.42 1.07 33.7 -18.00 20.0 23.49 1.83 -0.59
-16.7 -28.90 1.0 16.91 -1.58 0.77 33.7 -18.00 15.0 22.73 2.08 -0.65
-16.7 -28.90 0.5 11.03 -3.92 0.66 33.7 -18.00 10.0 23.03 2.85 -0.64
-14.2 -24.60 24.0 22.06 -1.88 1.64 33.7 -18.00 7.5 21.62 3.02 -0.47
-14.2 -24.60 20.0 21.67 -1.94 1.65 33.7 -18.00 5.0 22.39 3.50 0.05
-14.2 -24.60 15.0 21.41 -2.04 1.54 33.7 -18.00 4.0 21.97 3.42 0.10
-14.2 -24.60 10.0 20.89 -1.88 1.30 33.7 -18.00 3.0 21.23 3.31 0.18
-14.2 -24.60 7.5 20.88 -1.97 1.14 33.7 -18.00 2.0 20.10 3.79 0.26
-14.2 -24.60 5.0 19.67 -1.71 0.91 33.7 -18.00 1.0 17.45 4.54 0.36
-14.2 -24.60 4.0 20.22 -1.61 0.96 33.7 -23.00 24.0 23.62 1.37 -0.12
-14.2 -24.60 3.0 19.37 -1.73 1.13 33.7 -23.00 20.0 23.25 1.50 -0.22
-14.2 -24.60 2.0 18.54 -1.74 1.23 33.7 -23.00 15.0 22.95 1.60 -0.11
-14.2 -24.60 1.0 17.83 -1.77 1.19 33.7 -23.00 10.0 22.22 2.21 0.07
-14.2 -24.60 0.0 13.25 -3.38 1.12 33.7 -23.00 7.5 21.20 2.00 -0.12
-11.7 -20.30 0.0 18.71 -2.79 2.19 33.7 -23.00 5.0 21.53 2.34 0.68
-11.7 -20.30 1.0 18.23 -2.17 1.18 33.7 -23.00 4.0 20.53 2.33 1.14
-11.7 -20.30 2.0 20.12 -2.29 1.14 33.7 -23.00 3.0 20.37 2.04 1.31
-11.7 -20.30 3.0 19.59 -2.47 1.27 33.7 -23.00 2.0 18.68 2.02 1.65
-11.7 -20.30 4.0 19.85 -2.47 1.05 33.7 -23.00 1.0 16.76 1.95 1.98
-11.7 -20.30 5.0 20.00 -2.71 1.16 33.7 -30.00 0.4 17.62 -0.55 0.24
-11.7 -20.30 7.5 21.08 -2.79 1.34 33.7 -30.00 1.0 19.26 0.09 0.35
-11.7 -20.30 10.0 21.39 -2.82 1.45 33.7 -30.00 2.0 19.49 0.53 0.44
-11.7 -20.30 15.0 21.10 -2.62 1.74 33.7 -30.00 3.0 20.45 0.95 0.71
-11.7 -20.30 20.0 21.73 -2.82 2.02 33.7 -30.00 4.0 20.79 1.32 0.75
-11.7 -20.30 24.0 22.33 -2.73 2.19 33.7 -30.00 5.0 21.16 1.21 0.63
-9.2 -15.90 24.0 22.31 -4.55 3.36 33.7 -30.00 7.5 21.49 1.51 0.59
-9.2 -15.90 20.0 21.68 -4.39 3.05 33.7 -30.00 10.0 21.86 1.63 0.55











Table A-2 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cs) c ) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.2 -15.90 15.0 21.83 -4.54 2.65 33.7 -30.00 15.0 22.49 1.36 0.13
-9.2 -15.90 10.0 21.79 -4.49 1.93 33.7 -30.00 20.0 22.71 1.16 0.20


-9.2 -15.90 7.5 22.03 -4.21 1.51 33.7 -30.00 24.0 23.55 1.20 0.07


"











Table A-3 Measured time-averaged velocities for the T = 6 hours scour hole.
X (cm) Y (cm) Z (cm) U (cnms) V (cms) W (cm/s) IX (cm) Y(cm)l (cm) U (cm/s) V (cm/s) W (cm/s)
-58.4 0.00 20.0 28.44 1.99 0.89 -6.7 -11.60 -6.0 8.90 -4.95 1.25
-58.4 0.00 15.0 27.84 1.89 0.92 -6.7 -11.60 -7.0 7.93 -5.05 3.98
-58.4 0.00 10.0 26.18 1.92 0.55 -6.7 -11.60 -8.0 7.39 -4.90 6.46
-58.4 0.00 7.5 24.27 1.78 0.47 -6.7 -11.60 -9.0 5.12 -3.72 7.18
-58.4 0.00 5.0 21.12 1.62 0.08 -6.2 -10.80 -9.8 1.70 -0.76 1.33
-58.4 0.00 4.0 20.24 1.81 -0.14 -6.2 -10.80 -9.0 7.92 -5.28 7.04
-58.4 0.00 3.0 18.35 1.74 -0.22 -6.2 -10.80 -8.0 8.70 -5.83 4.43
-58.4 0.00 2.0 16.95 1.72 -0.54 -6.2 -10.80 -7.0 9.49 -6.15 2.01
-58.4 0.00 1.0 14.08 0.58 -0.31 -6.2 -10.80 -6.0 9.92 -6.26 -0.09
-58.4 0.00 0.5 5.65 -1.78 0.14 -6.2 -10.80 -5.0 11.83 -5.47 -1.39
-43.4 0.00 1.8 14.12 0.32 -0.11 -6.2 -10.80 -4.0 13.16 -4.56 -1.73
-43.4 0.00 2.0 13.85 0.74 -0.33 -6.2 -10.80 -3.0 13.35 -4.61 -1.82
-43.4 0.00 3.0 17.93 1.16 -0.26 -6.2 -10.80 -2.0 15.40 -4.22 -0.82
-43.4 0.00 4.0 18.36 1.32 -0.27 -6.2 -10.80 -1.0 16.61 -4.21 -0.34
-43.4 0.00 5.0 19.32 1.28 -0.18 -6.2 -10.80 0.0 17.49 -4.08 0.29
-43.4 0.00 7.5 21.36 1.38 0.08 -6.2 -10.80 1.0 18.44 -4.28 0.77
-43.4 0.00 10.0 21.84 1.41 0.22 -6.2 -10.80 2.0 18.78 -4.93 1.15
-43.4 0.00 15.0 24.89 1.48 0.38 -6.2 -10.80 3.0 19.04 -4.48 1.52
-43.4 0.00 20.0 25.89 1.55 0.65 -6.2 -10.80 4.0 19.17 -4.56 1.82
-43.4 0.00 24.0 25.96 1.54 0.66 -6.2 -10.80 5.0 21.07 -4.91 2.15
-33.4 0.00 24.0 25.29 1.51 0.61 -6.2 -10.80 7.5 21.24 -4.97 2.79
-33.4 0.00 20.0 24.80 1.30 0.26 -6.2 -10.80 10.0 22.84 -5.24 3.40
-33.4 0.00 15.0 24.39 1.06 0.08 -6.2 -10.80 15.0 24.09 -5.07 4.33
-33.4 0.00 10.0 23.21 1.05 -0.26 -6.2 -10.80 20.0 24.36 -5.11 5.22
-33.4 0.00 7.5 21.37 0.75 -0.41 -6.2 -10.80 24.0 25.29 -4.75 5.91
-33.4 0.00 5.0 20.45 0.98 -0.53 -5.7 -9.90 24.0 25.66 -5.64 6.60
-33.4 0.00 4.0 18.70 1.05 -0.35 -5.7 -9.90 20.0 25.05 -5.77 6.10
-33.4 0.00 3.0 18.50 1.12 -0.42 -5.7 -9.90 15.0 24.60 -5.79 4.81
-33.4 0.00 2.0 13.94 -0.33 -0.28 -5.7 -9.90 10.0 22.65 -5.77 3.60
-28.4 0.00 0.5 5.64 -3.47 -0.12 -5.7 -9.90 7.5 22.12 -5.86 3.23
-28.4 0.00 1.0 12.15 -2.02 -0.92 -5.7 -9.90 5.0 20.85 -5.17 2.51
-28.4 0.00 2.0 16.67 -0.16 -1.47 -5.7 -9.90 4.0 20.66 -5.59 2.18
-28.4 0.00 3.0 18.40 0.07 -1.25 -5.7 -9.90 3.0 20.37 -5.50 1.83
-28.4 0.00 4.0 19.01 0.14 -1.10 -5.7 -9.90 2.0 19.85 -5.29 1.88
-28.4 0.00 5.0 19.59 0.17 -0.85 -5.7 -9.90 1.0 19.83 -5.65 1.32
-28.4 0.00 7.5 19.95 0.40 -0.85 -5.7 -9.90 0.0 18.96 -5.37 0.98
-28.4 0.00 10.0 22.35 0.44 -0.52 -5.7 -9.90 -1.0 18.31 -5.20 0.73
-28.4 0.00 15.0 24.04 0.58 -0.23 -5.7 -9.90 -2.0 17.05 -5.01 0.16
-28.4 0.00 20.0 24.50 1.00 0.10 -5.7 -9.90 -3.0 16.64 -5.27 -0.41
-28.4 0.00 24.0 25.47 1.23 0.31 -5.7 -9.90 -4.0 14.51 -5.31 -1.18
-23.4 0.00 24.0 25.34 0.61 0.47 -5.7 -9.90 -5.0 14.28 -5.71 -1.09
-23.4 0.00 20.0 24.79 0.32 0.24 -5.7 -9.90 -6.0 12.90 -6.00 -0.98
-23.4 0.00 15.0 24.49 -0.16 -0.37 -5.7 -9.90 -7.0 11.33 -6.89 0.32
-23.4 0.00 10.0 22.94 -0.51 -0.60 -5.7 -9.90 -8.0 10.69 -6.81 2.70
-23.4 0.00 7.5 21.90 -0.60 -1.00 -5.7 -9.90 -9.0 9.36 -6.13 5.16










Table A-3 continued.
X (cm)Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm)IY (cm)jZ (cm) U (cm/s) V (cm/s) W (cm/s)
-23.4 0.00 5.0 20.62 -0.96 -1.05 -5.7 -9.90 -10.0 7.02 -3.87 5.76
-23.4 0.00 4.0 19.98 -0.89 -1.18 -5.2 -9.00 -11.0 4.71 -3.06 3.86
-23.4 0.00 3.0 19.82 -0.91 -1.38 -5.2 -9.00 -10.0 10.45 -6.67 5.77
-23.4 0.00 2.0 18.23 -0.96 -1.48 -5.2 -9.00 -9.0 11.59 -7.45 3.98
-23.4 0.00 1.0 15.59 -1.20 -0.96 -5.2 -9.00 -8.0 12.15 -7.59 1.96
-23.4 0.00 0.0 12.01 -1.52 -0.47 -5.2 -9.00 -7.0 13.04 -7.61 0.84
-23.4 0.00 -1.0 8.05 -1.46 0.55 -5.2 -9.00 -6.0 14.03 -7.76 -0.20
-23.4 0.00 -2.0 5.42 -0.46 0.58 -5.2 -9.00 -5.0 15.61 -7.46 -0.15
-18.4 0.00 24.0 22.91 -0.04 0.38 -5.2 -9.00 -4.0 16.22 -6.97 -0.26
-18.4 0.00 20.0 22.15 -0.42 -0.10 -5.2 -9.00 -3.0 17.57 -7.06 0.19
-18.4 0.00 15.0 21.55 -1.03 -0.50 -5.2 -9.00 -2.0 17.67 -6.31 0.39
-18.4 0.00 10.0 21.38 -1.75 -1.09 -5.2 -9.00 -1.0 18.84 -6.74 0.97
-18.4 0.00 7.5 19.92 -1.80 -1.43 -5.2 -9.00 0.0 19.36 -6.65 1.45
-18.4 0.00 5.0 19.07 -2.30 -1.47 -5.2 -9.00 1.0 19.85 -6.75 1.90
-18.4 0.00 4.0 18.67 -2.39 -1.64 -5.2 -9.00 2.0 20.66 -6.61 2.07
-18.4 0.00 3.0 18.85 -2.48 -1.97 -5.2 -9.00 3.0 21.49 -6.64 2.59
-18.4 0.00 2.0 18.20 -2.43 -2.06 -5.2 -9.00 4.0 22.49 -7.06 2.86
-18.4 0.00 1.0 16.99 -2.75 -1.80 -5.2 -9.00 5.0 21.93 -6.71 3.08
-18.4 0.00 0.0 16.21 -2.83 -1.43 -5.2 -9.00 7.5 23.61 -7.12 3.85
-18.4 0.00 -1.0 13.47 -2.65 -0.84 -5.2 -9.00 10.0 23.89 -6.86 4.45
-18.4 0.00 -2.0 12.21 -2.73 -0.83 -5.2 -9.00 15.0 25.50 -6.88 5.67
-18.4 0.00 -3.0 10.34 -1.81 0.12 -5.2 -9.00 20.0 26.08 -6.68 6.77
-18.4 0.00 -4.0 7.69 -1.06 1.09 -5.2 -9.00 24.0 26.69 -6.54 7.46
-18.4 0.00 -5.0 3.98 1.33 1.61 -4.7 -8.20 24.0 28.07 -7.57 8.34
-18.4 0.00 -6.0 3.20 2.86 -0.07 -4.7 -8.20 20.0 27.72 -7.48 7.83
-15.9 0.00 -7.6 1.60 1.71 1.58 -4.7 -8.20 15.0 26.92 -7.99 6.70
-15.9 0.00 -7.0 0.77 -1.92 1.88 -4.7 -8.20 10.0 24.97 -7.93 5.22
-15.9 0.00 -6.0 4.62 -3.04 -0.35 -4.7 -8.20 7.5 24.55 -8.28 4.50
-15.9 0.00 -5.0 7.65 -3.92 -1.36 -4.7 -8.20 5.0 23.22 -8.05 3.66
-15.9 0.00 -4.0 10.03 -4.39 -2.05 -4.7 -8.20 4.0 23.34 -8.48 3.48
-15.9 0.00 -3.0 11.63 -4.82 -1.85 -4.7 -8.20 3.0 22.73 -8.36 3.12
-15.9 0.00 -2.0 12.57 -4.76 -1.98 -4.7 -8.20 2.0 21.54 -8.40 2.54
-15.9 0.00 -1.0 13.84 -4.63 -2.16 -4.7 -8.20 1.0 21.40 -8.18 2.33
-15.9 0.00 0.0 15.10 -4.28 -2.40 -4.7 -8.20 0.0 20.44 -7.85 1.96
-15.9 0.00 1.0 16.41 -4.19 -2.51 -4.7 -8.20 -1.0 20.45 -8.65 1.63
-15.9 0.00 2.0 15.97 -3.88 -2.47 -4.7 -8.20 -2.0 19.43 -8.19 1.19
-15.9 0.00 3.0 16.13 -3.89 -1.99 -4.7 -8.20 -3.0 18.30 -8.64 0.83
-15.9 0.00 4.0 17.22 -3.54 -2.17 -4.7 -8.20 -4.0 17.53 -8.59 0.58
-15.9 0.00 5.0 17.47 -3.53 -1.87 -4.7 -8.20 -5.0 17.72 -9.21 0.87
-15.9 0.00 7.5 17.53 -2.80 -1.43 -4.7 -8.20 -6.0 16.26 -8.65 1.09
-15.9 0.00 10.0 18.84 -2.54 -1.26 -4.7 -8.20 -7.0 15.51 -8.77 1.77
-15.9 0.00 15.0 19.35 -1.75 -0.71 -4.7 -8.20 -8.0 14.62 -8.39 2.17
-15.9 0.00 20.0 19.90 -1.23 0.00 -4.7 -8.20 -9.0 13.46 -8.12 3.27
-15.9 0.00 24.0 20.17 -0.67 0.43 -4.7 -8.20 -10.0 12.84 -7.78 4.54
-13.4 0.00 24.0 17.62 -1.47 0.44 -4.7 -8.20 -11.0 11.38 -5.85 5.61
-13.4 0.00 20.0 17.26 -2.27 0.18 -4.7 -8.20 -11.2 7.84 -5.64 4.44










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-13.4 0.00 15.0 16.98 -2.88 -0.49 -4.5 -7.70 -11.3 9.65 -6.29 4.16
-13.4 0.00 10.0 15.88 -3.76 -1.14 -4.5 -7.70 -11.0 10.74 -7.14 4.28
-13.4 0.00 7.5 15.91 -4.07 -1.74 -4.5 -7.70 -10.0 13.71 -9.17 4.18
-13.4 0.00 5.0 15.20 -4.71 -1.88 -4.5 -7.70 -9.0 14.88 -9.21 3.19
-13.4 0.00 4.0 14.73 -4.95 -2.12 -4.5 -7.70 -8.0 15.55 -9.24 2.41
-13.4 0.00 3.0 13.86 -4.67 -2.35 -4.5 -7.70 -7.0 16.83 -9.36 1.92
-13.4 0.00 2.0 14.14 -5.29 -2.55 -4.5 -7.70 -6.0 17.70 -9.76 1.67
-13.4 0.00 1.0 13.98 -5.33 -2.68 -4.5 -7.70 -5.0 18.85 -10.26 1.62
-13.4 0.00 0.0 13.54 -5.86 -2.84 -4.5 -7.70 -4.0 19.55 -9.95 1.70
-13.4 0.00 -1.0 12.51 -5.93 -2.74 -4.5 -7.70 -3.0 19.38 -9.51 1.56
-13.4 0.00 -2.0 12.59 -6.59 -2.95 -4.5 -7.70 -2.0 20.87 -9.90 2.09
-13.4 0.00 -3.0 12.45 -6.90 -3.36 -4.5 -7.70 -1.0 21.46 -9.63 2.28
-13.4 0.00 -4.0 11.16 -6.18 -3.00 -4.5 -7.70 0.0 22.36 -9.95 2.76
-13.4 0.00 -5.0 8.86 -7.05 -3.09 -4.5 -7.70 1.0 22.82 -9.90 2.88
-13.4 0.00 -6.0 7.51 -6.19 -2.61 -4.5 -7.70 2.0 23.37 -9.70 3.31
-13.4 0.00 -7.0 5.83 -5.86 -1.83 -4.5 -7.70 3.0 23.56 -9.28 3.72
-13.4 0.00 -8.0 3.66 -4.68 0.32 -4.5 -7.70 4.0 25.11 -9.90 4.25
-13.4 0.00 -9.0 -1.05 -0.69 -0.30 -4.5 -7.70 5.0 25.21 -9.76 4.40
-12.4 0.00 -9.8 -2.46 -1.71 -0.62 -4.5 -7.70 7.5 26.28 -9.44 5.34
-12.4 0.00 -9.0 2.86 -4.39 0.91 -4.5 -7.70 10.0 27.48 -9.26 6.26
-12.4 0.00 -8.0 4.89 -5.84 -0.65 -4.5 -7.70 15.0 27.51 -8.65 7.42
-12.4 0.00 -7.0 6.37 -6.66 -1.94 -4.5 -7.70 20.0 28.24 -8.44 8.52
-12.4 0.00 -6.0 8.20 -7.68 -3.03 -4.5 -7.70 24.0 27.99 -8.06 9.03
-12.4 0.00 -5.0 9.19 -7.91 -3.56 0.0 -58.40 24.0 24.33 0.18 0.19
-12.4 0.00 -4.0 10.31 -8.05 -3.49 0.0 -58.40 20.0 23.92 0.15 0.34
-12.4 0.00 -3.0 10.94 -8.49 -3.53 0.0 -58.40 15.0 22.47 0.23 0.38
-12.4 0.00 -2.0 11.97 -8.02 -3.65 0.0 -58.40 10.0 20.89 0.39 0.29
-12.4 0.00 -1.0 12.06 -7.78 -3.15 0.0 -58.40 7.5 19.43 0.32 0.25
-12.4 0.00 0.0 12.38 -7.33 -3.28 0.0 -58.40 5.0 17.70 0.20 0.25
-12.4 0.00 1.0 13.14 -7.20 -3.10 0.0 -58.40 4.0 16.67 0.17 0.16
-12.4 0.00 2.0 12.77 -6.70 -2.72 0.0 -58.40 3.0 14.41 0.02 0.20
-12.4 0.00 3.0 12.98 -5.84 -2.96 0.0 -58.40 2.0 12.75 -0.63 0.13
-12.4 0.00 4.0 13.12 -5.74 -2.52 0.0 -58.40 1.4 12.46 -0.96 -0.05
-12.4 0.00 5.0 14.01 -5.76 -2.61 0.0 -43.40 0.3 9.98 -0.13 -0.12
-12.4 0.00 7.5 13.83 -5.10 -2.21 0.0 -43.40 1.0 14.22 0.16 -0.06
-12.4 0.00 10.0 14.43 -4.50 -1.67 0.0 -43.40 2.0 15.73 -0.14 -0.18
-12.4 0.00 15.0 14.78 -3.81 -0.72 0.0 -43.40 3.0 16.53 -0.22 -0.16
-12.4 0.00 20.0 14.66 -3.07 0.01 0.0 -43.40 4.0 18.46 -0.13 -0.27
-12.4 0.00 24.0 15.28 -2.63 0.45 0.0 -43.40 5.0 17.43 -0.32 0.10
-11.4 0.00 24.0 13.83 -2.61 0.56 0.0 -43.40 7.5 19.06 -0.01 0.02
-11.4 0.00 20.0 13.54 -3.52 0.21 0.0 -43.40 10.0 21.32 0.24 0.06
-11.4 0.00 15.0 13.53 -4.26 -0.66 0.0 -43.40 15.0 23.07 0.12 0.03
-11.4 0.00 10.0 13.04 -5.05 -1.50 0.0 -43.40 20.0 23.66 0.07 0.26
-11.4 0.00 7.5 13.11 -5.90 -2.12 0.0 -43.40 24.0 25.16 0.00 0.13
-11.4 0.00 5.0 12.62 -6.69 -2.44 0.0 -33.40 24.0 25.53 -0.42 -0.08
-11.4 0.00 4.0 12.06 -6.90 -2.39 0.0 -33.40 20.0 25.05 -0.32 -0.07


-~-----~-~-~-~1111I










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cnms) V (cm/s) W (cm/s)
-11.4 0.00 3.0 12.63 -7.42 -2.66 0.0 -33.40 15.0 23.69 -0.13 -0.06
-11.4 0.00 2.0 11.54 -7.62 -2.80 0.0 -33.40 10.0 20.81 -0.15 0.00
-11.4 0.00 1.0 11.78 -7.88 -3.42 0.0 -33.40 7.5 20.18 -0.24 -0.04
-11.4 0.00 0.0 10.99 -8.11 -3.19 0.0 -33.40 5.0 19.13 -0.32 -0.15
-11.4 0.00 -1.0 11.31 -8.70 -3.50 0.0 -33.40 4.0 17.60 -0.33 -0.04
-11.4 0.00 -2.0 10.93 -9.10 -3.51 0.0 -33.40 3.0 17.06 -0.32 -0.20
-11.4 0.00 -3.0 10.53 -9.22 -4.03 0.0 -33.40 2.0 15.36 -0.45 -0.03
-11.4 0.00 -4.0 9.62 -8.94 -3.92 0.0 -33.40 1.0 14.43 -0.60 -0.30
-11.4 0.00 -5.0 9.07 -8.63 -4.22 0.0 -28.40 0.0 12.70 -1.31 0.17
-11.4 0.00 -6.0 8.01 -8.42 -3.33 0.0 -28.40 1.0 14.77 -1.18 0.17
-11.4 0.00 -7.0 7.20 -8.22 -2.84 0.0 -28.40 2.0 16.30 -0.91 0.13
-11.4 0.00 -8.0 5.91 -7.54 -2.09 0.0 -28.40 3.0 17.03 -0.47 0.08
-11.4 0.00 -9.0 4.47 -6.39 -0.47 0.0 -28.40 4.0 18.01 -0.41 -0.03
-11.4 0.00 -10.0 2.33 -4.09 0.98 0.0 -28.40 5.0 18.74 -0.24 -0.12
-11.4 0.00 -10.3 0.76 -3.08 0.89 0.0 -28.40 7.5 20.90 -0.18 -0.41
-10.4 0.00 -11.0 1.56 -5.46 0.75 0.0 -28.40 10.0 21.53 -0.26 -0.32
-10.4 0.00 -10.0 3.67 -7.40 -0.13 0.0 -28.40 15.0 23.83 -0.48 -0.25
-10.4 0.00 -9.0 5.16 -7.99 -1.32 0.0 -28.40 20.0 24.45 -0.70 -0.06
-10.4 0.00 -8.0 5.90 -8.54 -2.29 0.0 -28.40 24.0 25.39 -0.76 -0.15
-10.4 0.00 -7.0 6.85 -10.16 -3.22 0.0 -23.40 24.0 26.09 -1.34 -0.36
-10.4 0.00 -6.0 7.51 -10.04 -3.77 0.0 -23.40 20.0 25.29 -1.04 -0.38
-10.4 0.00 -5.0 8.01 -9.68 -3.90 0.0 -23.40 15.0 23.93 -0.93 -0.65
-10.4 0.00 -4.0 8.56 -10.29 -3.79 0.0 -23.40 10.0 22.10 -0.30 -0.44
-10.4 0.00 -3.0 8.77 -9.93 -4.02 0.0 -23.40 7.5 20.79 -0.15 -0.30
-10.4 0.00 -2.0 9.12 -9.97 -3.35 0.0 -23.40 5.0 18.93 -0.22 0.01
-10.4 0.00 -1.0 9.41 -10.04 -3.41 0.0 -23.40 4.0 17.67 0.00 0.10
-10.4 0.00 0.0 9.80 -10.16 -2.90 0.0 -23.40 3.0 17.18 -0.19 0.04
-10.4 0.00 1.0 9.76 -9.35 -2.90 0.0 -23.40 2.0 16.12 0.11 0.31
-10.4 0.00 2.0 10.06 -9.13 -2.49 0.0 -23.40 1.0 14.45 -0.25 0.47
-10.4 0.00 3.0 10.00 -8.72 -2.58 0.0 -23.40 0.0 14.00 -0.47 0.43
-10.4 0.00 4.0 10.06 -8.19 -2.14 0.0 -23.40 -1.0 12.67 -0.81 0.60
-10.4 0.00 5.0 10.47 -8.10 -2.17 0.0 -23.40 -2.0 11.43 -1.04 0.63
-10.4 0.00 7.5 10.53 -7.19 -1.72 0.0 -23.40 -2.7 9.21 -0.64 0.69
-10.4 0.00 10.0 10.71 -6.66 -1.32 0.0 -18.40 -5.5 9.01 -2.68 4.49
-10.4 0.00 15.0 11.21 -4.94 -0.52 0.0 -18.40 -5.0 9.68 -4.24 4.46
-10.4 0.00 20.0 11.49 -4.19 0.36 0.0 -18.40 -4.0 10.03 -1.54 3.05
-10.4 0.00 24.0 11.58 -3.25 0.66 0.0 -18.40 -3.0 10.43 0.63 1.54
-9.4 0.00 24.0 8.77 -4.69 1.30 0.0 -18.40 -2.0 11.72 1.81 0.77
-9.4 0.00 20.0 8.72 -5.26 1.05 0.0 -18.40 -1.0 12.91 1.50 0.46
-9.4 0.00 15.0 8.53 -6.43 0.04 0.0 -18.40 0.0 14.25 1.28 0.08
-9.4 0.00 10.0 8.33 -8.04 -1.13 0.0 -18.40 1.0 15.88 0.92 -0.30
-9.4 0.00 7.5 8.10 -8.43 -1.63 0.0 -18.40 2.0 16.45 0.50 -0.71
-9.4 0.00 5.0 7.79 -9.70 -2.04 0.0 -18.40 3.0 18.37 0.40 -0.67
-9.4 0.00 4.0 7.80 -10.21 -2.24 0.0 -18.40 4.0 18.56 0.25 -0.69
-9.4 0.00 3.0 7.62 -10.40 -1.97 0.0 -18.40 5.0 19.94 0.04 -1.03
-9.4 0.00 2.0 7.83 -11.24 -1.97 0.0 -18.40 7.5 21.65 -0.45 -1.28










Table A-3 continued.
X (cm) Y (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.4 0.00 1.0 7.75 -11.94 -2.57 0.0 -18.40 10.0 22.36 -0.61 -1.07
-9.4 0.00 0.0 7.52 -11.35 -3.10 0.0 -18.40 15.0 24.88 -1.27 -1.15
-9.4 0.00 -1.0 7.21 -12.12 -3.44 0.0 -18.40 20.0 25.41 -1.98 -1.01
-9.4 0.00 -2.0 6.71 -12.89 -3.68 0.0 -18.40 24.0 26.60 -2.05 -0.65
-9.4 0.00 -3.0 6.85 -12.96 -3.44 0.0 -15.90 24.0 27.54 -2.51 -1.08
-9.4 0.00 -4.0 6.95 -13.63 -3.42 0.0 -15.90 20.0 26.34 -2.43 -1.51
-9.4 0.00 -5.0 7.04 -14.87 -2.58 0.0 -15.90 15.0 25.43 -1.68 -1.66
-9.4 0.00 -6.0 5.91 -13.40 -3.24 0.0 -15.90 10.0 23.64 -0.89 -1.90
-9.4 0.00 -7.0 5.97 -13.49 -3.15 0.0 -15.90 7.5 22.57 -0.34 -1.96
-9.4 0.00 -8.0 4.84 -13.95 -1.81 0.0 -15.90 5.0 20.08 0.18 -1.41
-9.4 0.00 -9.0 4.81 -11.77 -1.70 0.0 -15.90 4.0 20.70 0.32 -1.94
-9.4 0.00 -10.0 3.89 -8.56 -0.95 0.0 -15.90 3.0 19.59 0.54 -1.85
-9.4 0.00 -11.0 3.46 -5.95 0.33 0.0 -15.90 2.0 18.55 0.93 -1.19
-9.4 0.00 -11.5 3.89 -2.66 0.15 0.0 -15.90 1.0 17.54 1.38 -1.40
-8.9 0.00 -9.0 4.55 -1.36 0.13 0.0 -15.90 0.0 16.20 1.90 -1.47
-8.9 0.00 -8.0 4.64 -3.68 0.76 0.0 -15.90 -1.0 15.08 2.12 -1.45
-8.9 0.00 -7.0 7.50 -1.42 0.94 0.0 -15.90 -2.0 13.49 3.08 -2.04
-8.9 0.00 -6.0 5.51 1.44 -2.25 0.0 -15.90 -3.0 12.55 2.97 -2.38
-8.9 0.00 -5.0 14.73 0.83 2.58 0.0 -15.90 -4.0 11.12 1.68 -1.95
-8.9 0.00 -4.0 9.73 0.95 0.54 0.0 -15.90 -5.0 10.76 -0.84 -1.25
-8.9 0.00 -3.0 5.60 0.18 -2.75 0.0 -15.90 -6.0 10.27 -2.74 0.65
-8.9 0.00 -2.0 5.79 -6.69 -2.92 0.0 -15.90 -7.0 9.60 -3.12 2.26
-8.9 0.00 -1.0 8.27 -1.01 -0.75 0.0 -13.40 24.0 28.77 -2.23 3.25
-8.9 0.00 0.0 9.17 -2.52 0.84 0.0 -13.40 20.0 27.28 -2.35 2.80
-8.9 0.00 1.0 4.49 -12.55 0.74 0.0 -13.40 15.0 26.44 -2.32 1.98
-8.9 0.00 2.0 7.18 -9.68 -0.57 0.0 -13.40 10.0 25.23 -1.98 0.95
-8.9 0.00 3.0 7.74 -11.27 0.82 0.0 -13.40 7.5 25.20 -1.81 0.19
-8.9 0.00 4.0 5.57 -10.92 -0.95 0.0 -13.40 5.0 23.92 -1.71 -0.32
-8.9 0.00 5.0 6.60 -11.23 0.11 0.0 -13.40 4.0 22.95 -0.97 -0.36
-8.9 0.00 7.5 5.81 -10.63 -1.50 0.0 -13.40 3.0 22.42 -1.14 -0.67
-8.9 0.00 10.0 5.81 -8.60 -1.48 0.0 -13.40 2.0 21.39 -0.60 -0.89
-8.9 0.00 15.0 6.74 -8.78 0.10 0.0 -13.40 1.0 21.06 -0.45 -1.07
-8.9 0.00 20.0 6.95 -6.56 0.83 0.0 -13.40 0.0 19.60 -0.39 -1.43
-8.9 0.00 24.0 7.11 -6.01 1.18 0.0 -13.40 -1.0 19.01 -0.15 -2.06
-50.6 -29.20 24.0 27.06 0.80 0.82 0.0 -13.40 -2.0 16.74 0.09 -2.55
-50.6 -29.20 20.0 26.23 0.81 0.51 0.0 -13.40 -3.0 15.36 0.09 -3.51
-50.6 -29.20 15.0 25.38 0.68 0.65 0.0 -13.40 -4.0 14.45 -0.33 -3.56
-50.6 -29.20 10.0 23.66 0.42 0.60 0.0 -13.40 -5.0 12.26 -0.94 -3.07
-50.6 -29.20 7.5 22.23 0.42 0.49 0.0 -13.40 -6.0 11.69 -2.24 -0.35
-50.6 -29.20 5.0 21.15 0.16 0.26 0.0 -13.40 -7.0 11.54 -2.18 1.64
-50.6 -29.20 4.0 20.14 0.15 0.15 0.0 -13.40 -8.0 11.01 -1.96 4.25
-50.6 -29.20 3.0 19.36 0.02 0.20 0.0 -13.40 -9.0 8.10 -1.40 4.85
-50.6 -29.20 2.0 18.85 0.03 -0.11 0.0 -12.40 -9.8 6.38 -0.52 2.87
-50.6 -29.20 1.6 17.15 -0.71 0.49 0.0 -12.40 -9.0 11.65 -1.86 3.97
-37.6 -21.70 1.0 5.36 -4.12 0.26 0.0 -12.40 -8.0 12.66 -2.39 2.28
-37.6 -21.70 2.0 18.35 -0.36 -0.12 0.0 -12.40 -7.0 13.70 -2.40 0.21










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-37.6 -21.70 3.0 19.26 -0.11 0.05 0.0 -12.40 -6.0 13.94 -2.07 -1.28
-37.6 -21.70 4.0 20.95 -0.18 0.17 0.0 -12.40 -5.0 14.51 -1.90 -2.27
-37.6 -21.70 5.0 20.27 0.01 0.03 0.0 -12.40 -4.0 15.96 -1.84 -2.81
-37.6 -21.70 7.5 22.71 0.09 0.17 0.0 -12.40 -3.0 18.25 -1.11 -2.40
-37.6 -21.70 10.0 24.82 0.07 0.25 0.0 -12.40 -2.0 19.48 -1.15 -2.28
-37.6 -21.70 15.0 25.72 0.26 0.56 0.0 -12.40 -1.0 20.82 -1.13 -2.00
-37.6 -21.70 20.0 26.71 0.16 1.00 0.0 -12.40 0.0 21.04 -1.28 -1.41
-37.6 -21.70 24.0 27.20 0.34 1.08 0.0 -12.40 1.0 22.39 -1.44 -1.18
-28.9 -16.70 24.0 26.94 -0.07 1.16 0.0 -12.40 2.0 22.85 -1.24 -0.93
-28.9 -16.70 20.0 26.38 -0.20 1.00 0.0 -12.40 3.0 23.24 -1.48 -0.70
-28.9 -16.70 15.0 25.78 -0.29 0.63 0.0 -12.40 4.0 24.47 -1.98 -0.56
-28.9 -16.70 10.0 24.41 -0.62 0.38 0.0 -12.40 5.0 24.74 -2.01 -0.10
-28.9 -16.70 7.5 23.12 -0.50 0.12 0.0 -12.40 7.5 25.65 -2.09 0.22
-28.9 -16.70 5.0 21.75 -0.46 -0.17 0.0 -12.40 10.0 26.30 -2.49 1.00
-28.9 -16.70 4.0 20.79 -0.42 -0.27 0.0 -12.40 15.0 28.17 -2.90 2.05
-28.9 -16.70 3.0 18.85 -0.42 -0.29 0.0 -12.40 20.0 28.45 -2.65 2.96
-28.9 -16.70 2.0 18.16 -0.41 -0.30 0.0 -12.40 24.0 29.12 -2.62 3.49
-28.9 -16.70 1.0 15.07 -1.99 0.69 0.0 -11.40 24.0 29.54 -3.03 3.69
-24.6 -14.20 -0.3 13.37 -4.32 1.39 0.0 -11.40 20.0 29.14 -3.39 3.17
-24.6 -14.20 0.0 16.10 -3.12 0.98 0.0 -11.40 15.0 27.93 -3.48 2.23
-24.6 -14.20 1.0 17.10 -1.41 -0.57 0.0 -11.40 10.0 27.43 -3.11 1.09
-24.6 -14.20 2.0 18.39 -1.19 -0.56 0.0 -11.40 7.5 26.99 -3.24 0.37
-24.6 -14.20 3.0 20.44 -1.16 -0.43 0.0 -11.40 5.0 26.98 -2.98 -0.21
-24.6 -14.20 4.0 20.60 -1.11 -0.33 0.0 -11.40 4.0 26.27 -2.38 -0.54
-24.6 -14.20 5.0 22.23 -1.21 -0.28 0.0 -11.40 3.0 25.71 -2.40 -0.85
-24.6 -14.20 7.5 23.43 -1.07 0.12 0.0 -11.40 2.0 25.18 -2.36 -0.99
-24.6 -14.20 10.0 23.14 -0.97 0.33 0.0 -11.40 1.0 24.05 -2.08 -1.36
-24.6 -14.20 15.0 25.82 -0.91 0.69 0.0 -11.40 0.0 23.21 -2.14 -1.65
-24.6 -14.20 20.0 25.93 -0.66 1.14 0.0 -11.40 -1.0 22.67 -2.01 -1.80
-24.6 -14.20 24.0 26.26 -0.45 1.42 0.0 -11.40 -2.0 21.73 -2.11 -2.07
-20.3 -11.70 24.0 25.17 -1.09 1.80 0.0 -11.40 -3.0 19.54 -1.83 -2.39
-20.3 -11.70 20.0 25.19 -1.37 1.53 0.0 -11.40 -4.0 19.84 -2.31 -2.32
-20.3 -11.70 15.0 24.68 -1.70 0.93 0.0 -11.40 -5.0 16.92 -2.35 -2.39
-20.3 -11.70 10.0 22.81 -1.85 0.34 0.0 -11.40 -6.0 16.90 -2.41 -1.81
-20.3 -11.70 7.5 22.41 -1.75 0.11 0.0 -11.40 -7.0 15.87 -2.65 -0.48
-20.3 -11.70 5.0 21.16 -1.79 -0.36 0.0 -11.40 -8.0 15.59 -2.93 0.58
-20.3 -11.70 4.0 20.99 -2.10 -0.43 0.0 -11.40 -9.0 14.89 -2.75 2.45
-20.3 -11.70 3.0 18.59 -1.95 -0.37 0.0 -11.40 -10.0 12.02 -1.97 4.03
-20.3 -11.70 2.0 17.93 -2.03 -0.28 0.0 -11.40 -10.5 7.69 -1.85 3.33
-20.3 -11.70 1.0 17.07 -2.21 -0.32 0.0 -10.40 -11.0 8.26 -2.09 2.60
-20.3 -11.70 0.0 15.80 -2.57 -0.05 0.0 -10.40 -10.0 16.25 -3.25 3.37
-20.3 -11.70 -1.0 12.79 -2.60 0.25 0.0 -10.40 -9.0 17.32 -3.10 1.37
-20.3 -11.70 -2.0 9.20 -2.20 1.03 0.0 -10.40 -8.0 18.47 -2.90 0.07
-20.3 -11.70 -2.3 9.39 -1.54 1.39 0.0 -10.40 -7.0 18.71 -2.94 -1.03
-15.9 -9.20 -5.0 2.31 1.18 3.02 0.0 -10.40 -6.0 20.32 -2.89 -1.51
-15.9 -9.20 -4.0 7.00 -1.08 4.94 0.0 -10.40 -5.0 19.40 -3.11 -2.24










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) x (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-15.9 -9.20 -3.0 9.54 -1.52 1.83 0.0 -10.40 -4.0 22.05 -2.88 -2.22
-15.9 -9.20 -2.0 12.30 -1.97 -0.17 0.0 -10.40 -3.0 22.68 -2.59 -2.22
-15.9 -9.20 -1.0 14.86 -2.36 -0.83 0.0 -10.40 -2.0 23.62 -2.59 -2.04
-15.9 -9.20 0.0 16.32 -2.75 -0.82 0.0 -10.40 -1.0 24.23 -2.65 -2.04
-15.9 -9.20 1.0 18.00 -3.13 -0.88 0.0 -10.40 0.0 25.57 -3.10 -1.60
-15.9 -9.20 2.0 18.29 -3.08 -0.79 0.0 -10.40 1.0 26.15 -3.31 -1.54
-15.9 -9.20 3.0 18.76 -3.28 -0.55 0.0 -10.40 2.0 26.05 -3.14 -1.25
-15.9 -9.20 4.0 19.44 -3.30 -0.28 0.0 -10.40 3.0 26.82 -3.41 -1.03
-15.9 -9.20 5.0 19.22 -3.29 -0.24 0.0 -10.40 4.0 27.03 -3.46 -0.65
-15.9 -9.20 7.5 22.25 -3.27 0.16 0.0 -10.40 5.0 28.30 -3.90 -0.36
-15.9 -9.20 10.0 21.44 -3.27 0.71 0.0 -10.40 7.5 28.42 -4.09 0.45
-15.9 -9.20 15.0 23.18 -2.86 1.44 0.0 -10.40 10.0 29.08 -3.98 1.03
-15.9 -9.20 20.0 22.44 -2.51 2.00 0.0 -10.40 15.0 29.45 -4.22 2.48
-15.9 -9.20 24.0 23.95 -2.35 2.58 0.0 -10.40 20.0 29.96 -4.14 3.46
-13.8 -8.00 24.0 23.16 -3.25 3.26 0.0 -10.40 24.0 30.38 -3.74 4.02
-13.8 -8.00 20.0 22.72 -3.63 2.75 0.0 -9.40 24.0 31.51 -4.89 4.05
-13.8 -8.00 15.0 22.18 -3.89 2.02 0.0 -9.40 20.0 31.22 -5.18 3.26
-13.8 -8.00 10.0 21.42 -4.34 1.18 0.0 -9.40 15.0 30.52 -4.94 2.46
-13.8 -8.00 7.5 19.71 -4.34 0.73 0.0 -9.40 10.0 30.36 -5.07 1.30
-13.8 -8.00 5.0 18.89 -4.20 0.20 0.0 -9.40 7.5 30.05 -4.80 0.29
-13.8 -8.00 4.0 19.62 -4.24 -0.19 0.0 -9.40 5.0 29.14 -4.51 -0.31
-13.8 -8.00 3.0 18.96 -4.31 -0.49 0.0 -9.40 4.0 32.18 -5.10 -1.24
-13.8 -8.00 2.0 17.88 -4.30 -0.62 0.0 -9.40 3.0 31.72 -4.90 -1.03
-13.8 -8.00 1.0 18.12 -4.54 -0.93 0.0 -9.40 2.0 31.38 -4.74 -1.47
-13.8 -8.00 0.0 17.28 -4.24 -1.16 0.0 -9.40 1.0 30.71 -4.85 -1.81
-13.8 -8.00 -1.0 16.33 -4.19 -1.39 0.0 -9.40 0.0 30.76 -5.05 -2.15
-13.8 -8.00 -2.0 14.23 -3.47 -1.73 0.0 -9.40 -1.0 29.74 -4.25 -2.37
-13.8 -8.00 -3.0 12.78 -3.33 -1.86 0.0 -9.40 -2.0 28.54 -4.04 -2.30
-13.8 -8.00 -4.0 10.39 -3.86 -0.51 0.0 -9.40 -3.0 28.49 -4.29 -2.69
-13.8 -8.00 -5.0 7.98 -4.13 3.25 0.0 -9.40 -7.0 23.94 -4.55 -1.84
-13.8 -8.00 -6.0 4.25 -4.57 6.53 0.0 -9.40 -8.0 23.61 -4.84 -1.17
-13.8 -8.00 -6.7 -0.69 1.98 -0.90 0.0 -9.40 -9.0 22.65 -5.01 0.07
-11.6 -6.70 24.0 21.70 -4.56 4.51 0.0 -9.40 -10.0 21.81 -5.14 1.69
-11.6 -6.70 20.0 21.66 -5.14 4.01 0.0 -9.40 -11.0 19.30 -5.97 3.29
-11.6 -6.70 15.0 21.16 -5.50 3.01 0.0 -8.90 -11.0 22.40 -6.68 3.24
-11.6 -6.70 10.0 20.98 -6.00 2.14 0.0 -8.90 -10.0 22.65 -5.73 1.01
-11.6 -6.70 7.5 19.75 -6.22 1.57 0.0 -8.90 -9.0 23.78 -5.47 -0.31
-11.6 -6.70 5.0 18.79 -6.28 1.05 0.0 -8.90 -8.0 24.62 -5.38 -1.30
-11.6 -6.70 4.0 18.77 -6.45 0.66 0.0 -8.90 -7.0 25.46 -5.24 -1.87
-11.6 -6.70 3.0 18.46 -6.46 0.18 0.0 -8.90 -3.0 28.60 -4.85 -2.72
-11.6 -6.70 2.0 18.57 -6.75 0.13 0.0 -8.90 -2.0 29.35 -4.75 -2.71
-11.6 -6.70 1.0 16.67 -7.39 -0.24 0.0 -8.90 -1.0 30.29 -4.90 -2.70
-11.6 -6.70 0.0 16.12 -7.52 -0.51 0.0 -8.90 0.0 30.79 -4.97 -2.39
-11.6 -6.70 -1.0 15.94 -7.74 -0.77 0.0 -8.90 1.0 31.49 -5.09 -2.36
-11.6 -6.70 -2.0 14.98 -7.49 -1.14 0.0 -8.90 2.0 31.86 -5.07 -1.91
-11.6 -6.70 -3.0 14.00 -7.54 -1.22 0.0 -8.90 3.0 31.75 -5.40 -1.83










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cns) W (cm/s) I (c (c Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-11.6 -6.70 -4.0 13.27 -7.85 -1.41 0.0 -8.90 4.0 33.15 -5.40 -1.55
-11.6 -6.70 -5.0 11.11 -7.90 -1.74 0.0 -8.90 5.0 32.39 -5.34 -1.11
-11.6 -6.70 -6.0 8.35 -7.68 -0.56 0.0 -8.90 7.5 33.37 -5.74 -0.20
-11.6 -6.70 -7.0 6.96 -7.88 1.15 0.0 -8.90 10.0 33.80 -6.10 0.79
-11.6 -6.70 -8.0 4.38 -7.26 3.89 0.0 -8.90 15.0 34.52 -6.17 1.80
-11.6 -6.70 -8.7 0.60 -3.55 2.18 0.0 -8.90 20.0 34.42 -5.82 3.26
-10.8 -6.20 -9.5 -0.77 -1.08 -0.80 0.0 -8.90 24.0 35.42 -5.65 3.48
-10.8 -6.20 -9.0 3.27 -5.43 3.59 16.8 -30.00 24.0 29.41 -0.52 -0.31
-10.8 -6.20 -8.0 6.42 -7.98 2.80 16.8 -30.00 20.0 28.74 -0.26 -0.21
-10.8 -6.20 -7.0 8.32 -8.92 0.87 16.8 -30.00 15.0 26.92 -0.27 -0.13
-10.8 -6.20 -6.0 10.33 -8.67 -1.52 16.8 -30.00 10.0 25.96 -0.29 -0.06
-10.8 -6.20 -5.0 11.28 -8.92 -1.37 16.8 -30.00 7.5 24.17 -0.37 0.12
-10.8 -6.20 -4.0 12.78 -8.91 -1.30 16.8 -30.00 5.0 21.96 -0.90 0.21
-10.8 -6.20 -3.0 13.67 -8.64 -1.39 16.8 -30.00 4.0 21.06 -1.16 0.20
-10.8 -6.20 -2.0 13.88 -8.33 -0.95 16.8 -30.00 3.0 21.28 -1.41 0.01
-10.8 -6.20 -1.0 14.76 -8.14 -0.63 16.8 -30.00 2.0 20.61 -1.63 0.31
-10.8 -6.20 0.0 14.87 -8.14 -0.36 16.8 -30.00 1.0 19.89 -1.86 0.64
-10.8 -6.20 1.0 15.08 -8.00 0.05 16.8 -30.00 0.6 18.66 -1.84 0.80
-10.8 -6.20 2.0 15.05 -7.93 0.43 16.8 -23.00 0.3 17.18 -3.00 2.68
-10.8 -6.20 3.0 15.87 -7.94 0.53 16.8 -23.00 1.0 17.88 -2.04 2.19
-10.8 -6.20 4.0 16.14 -8.09 1.24 16.8 -23.00 2.0 18.67 -1.70 2.00
-10.8 -6.20 5.0 16.26 -7.75 1.24 16.8 -23.00 3.0 20.45 -0.52 1.61
-10.8 -6.20 7.5 16.57 -7.40 1.63 16.8 -23.00 4.0 20.44 -0.29 1.21
-10.8 -6.20 10.0 17.96 -7.35 2.18 16.8 -23.00 5.0 21.29 0.10 1.10
-10.8 -6.20 15.0 18.94 -7.04 3.19 16.8 -23.00 7.5 23.76 0.40 0.72
-10.8 -6.20 20.0 19.17 -6.33 3.92 16.8 -23.00 10.0 24.52 0.50 0.29
-10.8 -6.20 24.0 19.31 -6.02 4.91 16.8 -23.00 15.0 26.23 0.25 -0.04
-9.9 -5.70 24.0 18.68 -7.17 5.74 16.8 -23.00 20.0 27.89 0.12 -0.32
-9.9 -5.70 20.0 18.47 -7.67 4.96 16.8 -23.00 24.0 29.07 -0.28 -0.44
-9.9 -5.70 15.0 17.97 -8.12 3.91 16.8 -18.00 24.0 29.56 0.12 -0.59
-9.9 -5.70 10.0 16.96 -8.40 2.93 16.8 -18.00 20.0 29.51 0.52 -0.89
-9.9 -5.70 7.5 16.55 -8.94 2.54 16.8 -18.00 15.0 27.87 0.78 -0.86
-9.9 -5.70 5.0 15.28 -8.80 1.87 16.8 -18.00 10.0 24.88 1.41 0.15
-9.9 -5.70 4.0 15.81 -9.30 1.46 16.8 -18.00 7.5 24.26 1.68 0.31
-9.9 -5.70 3.0 14.85 -9.00 0.97 16.8 -18.00 5.0 21.62 1.89 1.24
-9.9 -5.70 2.0 14.31 -9.08 0.95 16.8 -18.00 4.0 21.06 1.72 1.15
-9.9 -5.70 1.0 13.76 -8.74 0.46 16.8 -18.00 3.0 19.50 1.49 1.49
-9.9 -5.70 0.0 14.11 -9.10 -0.10 16.8 -18.00 2.0 18.00 1.06 1.47
-9.9 -5.70 -1.0 13.46 -9.01 -0.28 16.8 -18.00 1.0 16.70 0.23 2.09
-9.9 -5.70 -2.0 13.22 -9.64 -0.51 16.8 -18.00 0.0 15.35 -1.33 2.62
-9.9 -5.70 -3.0 12.40 -9.61 -0.75 16.8 -18.00 -1.0 15.62 -2.30 3.79
-9.9 -5.70 -4.0 11.92 -9.69 -0.77 16.8 -18.00 -1.9 14.13 -1.59 4.02
-9.9 -5.70 -5.0 11.04 -9.97 -0.85 16.8 -15.00 -3.0 14.63 -1.52 4.12
-9.9 -5.70 -6.0 9.85 -9.70 -0.33 16.8 -15.00 -2.0 14.94 -1.44 3.47
-9.9 -5.70 -7.0 8.98 -9.60 0.87 16.8 -15.00 -1.0 15.34 -0.10 2.12
-9.9 -5.70 -8.0 7.64 -8.89 2.42 16.8 -15.00 0.0 15.81 1.15 1.60










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.9 -5.70 -9.0 6.19 -7.82 3.86 16.8 -15.00 1.0 16.58 1.77 1.44
-9.9 -5.70 -10.0 0.46 -4.58 2.24 16.8 -15.00 2.0 18.36 2.63 1.14
-9.9 -5.70 -10.2 -3.24 -1.35 -2.03 16.8 -15.00 3.0 19.05 2.77 1.16
-9.0 -5.20 24.0 18.33 -8.74 6.93 16.8 -15.00 4.0 21.17 2.77 0.26
-9.0 -5.20 20.0 18.34 -9.07 6.37 16.8 -15.00 5.0 21.80 2.82 0.70
-9.0 -5.20 15.0 17.96 -9.83 5.44 16.8 -15.00 7.5 23.58 2.81 0.38
-9.0 -5.20 10.0 17.56 -10.69 4.10 16.8 -15.00 10.0 25.12 2.52 -0.50
-9.0 -5.20 7.5 16.58 -10.60 3.40 16.8 -15.00 15.0 27.94 1.60 -1.23
-9.0 -5.20 5.0 16.18 -11.08 3.17 16.8 -15.00 20.0 29.07 0.84 -1.83
-9.0 -5.20 4.0 15.74 -10.77 2.42 16.8 -15.00 24.0 29.68 0.01 -1.62
-9.0 -5.20 3.0 16.16 -11.38 2.34 16.8 -12.00 24.0 27.00 0.98 -1.58
-9.0 -5.20 2.0 15.01 -11.37 2.05 16.8 -12.00 20.0 27.12 1.37 -1.77
-9.0 -5.20 1.0 14.95 -11.21 1.35 16.8 -12.00 15.0 25.85 2.09 -1.96
-9.0 -5.20 0.0 14.10 -11.21 1.29 16.8 -12.00 10.0 25.81 3.73 -1.94
-9.0 -5.20 -1.0 13.70 -11.48 0.83 16.8 -12.00 7.5 24.50 4.12 -0.73
-9.0 -5.20 -2.0 13.52 -11.71 0.12 16.8 -12.00 5.0 23.53 4.50 -0.04
-9.0 -5.20 -3.0 12.87 -12.11 0.42 16.8 -12.00 4.0 22.39 4.45 0.07
-9.0 -5.20 -4.0 12.66 -12.57 0.05 16.8 -12.00 3.0 20.60 3.85 0.07
-9.0 -5.20 -5.0 11.50 -11.96 0.25 16.8 -12.00 2.0 20.78 4.23 0.77
-9.0 -5.20 -6.0 10.66 -12.06 0.72 16.8 -12.00 1.0 18.76 3.75 1.05
-9.0 -5.20 -7.0 10.14 -11.77 1.39 16.8 -12.00 0.0 17.83 3.10 1.25
-9.0 -5.20 -8.0 9.22 -10.74 2.20 16.8 -12.00 -1.0 15.97 2.15 1.47
-9.0 -5.20 -9.0 8.32 -10.32 3.55 16.8 -12.00 -2.0 15.95 1.37 1.88
-9.0 -5.20 -10.0 6.83 -9.05 5.09 16.8 -12.00 -3.0 15.18 0.49 2.72
-9.0 -5.20 -10.7 2.54 -3.87 1.76 16.8 -12.00 -4.0 15.61 -0.61 4.04
-8.2 -4.70 -11.3 5.44 -7.76 2.74 16.8 -9.00 -5.0 15.50 1.28 4.21
-8.2 -4.70 -11.0 6.47 -8.89 3.77 16.8 -9.00 -4.0 15.19 2.06 3.18
-8.2 -4.70 -10.0 8.55 -11.91 4.04 16.8 -9.00 -3.0 15.08 2.54 2.42
-8.2 -4.70 -9.0 9.34 -11.91 2.67 16.8 -9.00 -2.0 15.81 3.41 1.89
-8.2 -4.70 -8.0 9.91 -12.53 1.63 16.8 -9.00 -1.0 16.59 4.27 1.47
-8.2 -4.70 -7.0 10.77 -13.19 1.27 16.8 -9.00 0.0 18.52 4.82 1.17
-8.2 -4.70 -6.0 11.20 -13.63 0.71 16.8 -9.00 1.0 19.49 6.15 1.26
-8.2 -4.70 -5.0 11.60 -13.92 0.25 16.8 -9.00 2.0 21.81 7.02 0.74
-8.2 -4.70 -4.0 12.83 -14.64 0.76 16.8 -9.00 3.0 22.20 6.76 0.20
-8.2 -4.70 -3.0 12.50 -13.72 0.83 16.8 -9.00 4.0 23.20 7.18 -0.58
-8.2 -4.70 -2.0 13.16 -13.78 1.04 16.8 -9.00 5.0 23.28 6.79 -1.05
-8.2 -4.70 -1.0 13.35 -13.53 1.47 16.8 -9.00 7.5 22.74 5.50 -2.02
-8.2 -4.70 0.0 13.69 -13.48 1.62 16.8 -9.00 10.0 22.18 4.05 -2.49
-8.2 -4.70 1.0 14.25 -13.61 2.00 16.8 -9.00 15.0 21.09 2.39 -1.20
-8.2 -4.70 2.0 14.55 -13.20 2.18 16.8 -9.00 20.0 19.06 1.65 -0.06
-8.2 -4.70 3.0 14.78 -13.02 3.13 16.8 -9.00 24.0 20.63 2.28 -0.60
-8.2 -4.70 4.0 15.02 -13.02 3.08 16.8 -6.00 24.0 11.52 0.93 1.87
-8.2 -4.70 5.0 16.07 -13.39 4.19 16.8 -6.00 20.0 11.28 1.30 1.63
-8.2 -4.70 7.5 16.30 -12.65 5.06 16.8 -6.00 15.0 12.63 0.97 1.64
-8.2 -4.70 10.0 16.08 -12.08 5.58 16.8 -6.00 10.0 15.15 2.71 0.20
-8.2 -4.70 15.0 17.19 -11.72 7.29 16.8 -6.00 7.5 17.95 6.72 -0.29










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-8.2 -4.70 20.0 17.66 -10.72 8.39 16.8 -6.00 5.0 19.87 9.05 0.73
-8.2 -4.70 24.0 17.94 -10.55 9.36 16.8 -6.00 4.0 20.23 8.80 1.20
-7.7 -4.50 24.0 17.44 -11.53 10.53 16.8 -6.00 3.0 19.93 8.93 1.58
-7.7 -4.50 20.0 17.42 -12.25 9.59 16.8 -6.00 2.0 18.68 7.85 1.54
-7.7 -4.50 15.0 17.60 -13.07 9.02 16.8 -6.00 1.0 18.86 8.24 1.58
-7.7 -4.50 10.0 16.71 -13.22 6.85 16.8 -6.00 0.0 17.71 7.16 1.99
-7.7 -4.50 7.5 16.32 -13.64 6.21 16.8 -6.00 -1.0 15.71 5.57 2.36
-7.7 -4.50 5.0 15.32 -12.65 4.69 16.8 -6.00 -2.0 15.17 5.34 2.79
-7.7 -4.50 4.0 15.27 -13.97 4.28 16.8 -6.00 -3.0 13.99 4.32 2.55
-7.7 -4.50 3.0 15.11 -13.74 4.08 16.8 -6.00 -4.0 14.16 3.49 3.26
-7.7 -4.50 2.0 14.83 -13.72 3.55 16.8 -6.00 -5.0 15.35 2.96 4.12
-7.7 -4.50 1.0 14.59 -14.56 3.02 16.8 -6.00 -5.4 15.09 2.24 4.34
-7.7 -4.50 0.0 14.50 -14.51 2.52 16.8 -3.00 24.0 1.65 1.31 3.56
-7.7 -4.50 -1.0 14.11 -15.34 2.23 16.8 -3.00 20.0 1.91 2.30 5.36
-7.7 -4.50 -2.0 13.85 -14.76 2.03 16.8 -3.00 15.0 2.64 -0.26 6.72
-7.7 -4.50 -3.0 13.00 -15.07 1.70 16.8 -3.00 10.0 5.02 -0.84 6.98
-7.7 -4.50 -4.0 12.50 -15.76 1.64 16.8 -3.00 7.5 7.78 2.34 5.65
-7.7 -4.50 -5.0 12.97 -14.70 1.45 16.8 -3.00 5.0 9.45 7.71 4.99
-7.7 -4.50 -6.0 12.47 -14.76 1.88 16.8 -3.00 4.0 10.80 10.04 4.67
-7.7 -4.50 -7.0 14.14 -7.62 0.53 16.8 -3.00 3.0 10.97 10.75 5.11
-7.7 -4.50 -8.0 11.32 -12.08 1.75 16.8 -3.00 2.0 11.88 10.70 4.56
-7.7 -4.50 -9.0 9.59 -13.93 2.39 16.8 -3.00 1.0 11.22 10.31 4.25
-7.7 -4.50 -10.0 8.71 -11.34 3.15 16.8 -3.00 0.0 12.32 11.05 4.84
-7.7 -4.50 -11.0 8.15 -7.25 3.57 16.8 -3.00 -1.0 11.18 9.16 4.32
-7.7 -4.50 -11.5 7.34 -6.56 3.02 16.8 -3.00 -2.0 10.18 7.99 4.24
-29.2 -50.60 24.0 24.54 -0.41 1.29 16.8 -3.00 -3.0 9.25 6.49 3.93
-29.2 -50.60 20.0 23.62 -0.43 1.28 16.8 -3.00 -4.0 8.98 5.34 4.16
-29.2 -50.60 15.0 22.51 -0.23 1.13 16.8 -3.00 -5.0 9.82 5.18 4.61
-29.2 -50.60 10.0 20.29 -0.34 0.72 16.8 -3.00 -5.6 10.70 4.72 4.70
-29.2 -50.60 7.5 18.51 -0.24 0.63 16.8 0.00 -6.0 8.09 0.14 2.96
-29.2 -50.60 5.0 17.80 -0.22 -0.05 16.8 0.00 -5.0 9.63 2.61 4.33
-29.2 -50.60 4.0 16.29 0.00 -0.08 16.8 0.00 -4.0 9.57 3.64 4.45
-29.2 -50.60 3.0 15.54 -0.27 -0.55 16.8 0.00 -3.0 9.44 4.28 4.37
-29.2 -50.60 2.0 13.38 -0.89 -0.37 16.8 0.00 -2.0 9.25 5.55 4.66
-29.2 -50.60 1.0 11.12 -2.43 1.03 16.8 0.00 -1.0 9.11 5.75 4.68
-21.7 -37.60 1.4 11.51 -1.20 0.92 16.8 0.00 0.0 9.43 6.71 5.63
-21.7 -37.60 2.0 13.87 -0.44 0.35 16.8 0.00 1.0 9.54 6.54 5.83
-21.7 -37.60 3.0 16.12 -0.59 0.39 16.8 0.00 2.0 8.66 6.14 6.57
-21.7 -37.60 4.0 16.14 -0.64 0.56 16.8 0.00 3.0 8.63 6.23 7.12
-21.7 -37.60 5.0 17.05 -0.65 0.49 16.8 0.00 4.0 8.04 3.33 8.59
-21.7 -37.60 7.5 19.09 -0.57 0.52 16.8 0.00 5.0 7.55 2.95 9.64
-21.7 -37.60 10.0 20.68 -0.70 0.72 16.8 0.00 7.5 6.38 -1.25 10.70
-21.7 -37.60 15.0 22.86 -0.64 1.08 16.8 0.00 10.0 3.93 -4.54 12.29
-21.7 -37.60 20.0 24.05 -0.74 1.39 16.8 0.00 15.0 1.99 -1.14 9.10
-21.7 -37.60 24.0 25.21 -0.76 1.76 16.8 0.00 20.0 1.04 -0.01 5.66
-16.7 -28.90 24.0 25.09 -1.09 1.91 16.8 0.00 24.0 0.17 2.30 3.71










Table A-3 continued.
X (cm)Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) Ix (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-16.7 -28.90 20.0 24.95 -1.09 1.73 33.7 0.00 24.0 9.58 0.99 6.06
-16.7 -28.90 15.0 23.30 -1.16 1.26 33.7 0.00 20.0 12.27 -1.40 7.35
-16.7 -28.90 10.0 20.87 -1.03 0.67 33.7 0.00 15.0 15.17 -1.45 7.78
-16.7 -28.90 7.5 20.38 -0.88 0.21 33.7 0.00 10.0 16.40 3.01 6.26
-16.7 -28.90 5.0 18.76 -0.65 -0.12 33.7 0.00 7.5 15.65 3.16 4.68
-16.7 -28.90 4.0 17.81 -0.99 0.05 33.7 0.00 5.0 16.30 2.68 4.05
-16.7 -28.90 3.0 17.11 -0.87 -0.01 33.7 0.00 4.0 16.64 2.20 4.24
-16.7 -28.90 2.0 15.90 -0.80 -0.14 33.7 0.00 3.0 16.23 1.21 4.52
-16.7 -28.90 1.0 12.20 -1.64 0.20 33.7 0.00 2.0 16.67 -0.23 4.40
-14.2 -24.60 -0.3 4.90 -2.67 0.89 33.7 0.00 1.7 16.16 -0.20 4.15
-14.2 -24.60 0.0 6.52 -3.51 0.78 33.7 -3.00 2.3 16.49 0.87 4.07
-14.2 -24.60 1.0 14.01 -2.01 -0.18 33.7 -3.00 3.0 16.61 1.97 4.16
-14.2 -24.60 2.0 15.77 -1.33 -0.31 33.7 -3.00 4.0 16.40 2.85 4.49
-14.2 -24.60 3.0 15.78 -1.52 0.07 33.7 -3.00 5.0 16.53 3.64 4.14
-14.2 -24.60 4.0 16.95 -1.38 0.08 33.7 -3.00 7.5 16.61 4.75 4.44
-14.2 -24.60 5.0 18.78 -1.52 0.12 33.7 -3.00 10.0 15.81 4.56 5.27
-14.2 -24.60 7.5 20.45 -1.73 0.56 33.7 -3.00 15.0 14.05 -0.18 6.24
-14.2 -24.60 10.0 21.53 -1.51 0.74 33.7 -3.00 20.0 12.08 -0.90 6.52
-14.2 -24.60 15.0 23.36 -1.41 1.23 33.7 -3.00 24.0 9.36 0.12 5.16
-14.2 -24.60 20.0 24.11 -1.53 1.91 33.7 -6.00 24.0 11.32 1.41 3.56
-14.2 -24.60 24.0 25.47 -1.60 2.45 33.7 -6.00 20.0 13.12 0.84 3.26
-11.7 -20.30 24.0 25.63 -2.23 2.79 33.7 -6.00 15.0 14.09 1.73 2.53
-11.7 -20.30 20.0 24.09 -2.14 2.41 33.7 -6.00 10.0 16.43 4.67 3.03
-11.7 -20.30 15.0 22.82 -2.24 1.84 33.7 -6.00 7.5 17.38 5.35 2.93
-11.7 -20.30 10.0 20.59 -2.13 1.08 33.7 -6.00 5.0 17.14 3.91 3.39
-11.7 -20.30 7.5 20.60 -2.06 0.69 33.7 -6.00 4.0 16.54 3.26 3.53
-11.7 -20.30 5.0 18.28 -1.98 0.44 33.7 -6.00 3.0 16.23 2.24 3.52
-11.7 -20.30 4.0 17.60 -2.07 0.26 33.7 -6.00 2.0 15.98 1.04 3.20
-11.7 -20.30 3.0 17.21 -2.06 0.17 33.7 -9.00 1.6 14.91 1.32 3.06
-11.7 -20.30 2.0 16.48 -2.25 0.16 33.7 -9.00 2.0 15.65 0.49 3.13
-11.7 -20.30 1.0 14.97 -1.91 0.02 33.7 -9.00 3.0 16.83 1.94 2.91
-11.7 -20.30 0.0 13.44 -2.21 -0.28 33.7 -9.00 4.0 17.43 2.65 2.56
-11.7 -20.30 -1.0 10.95 -2.76 0.43 33.7 -9.00 5.0 18.08 3.73 2.57
-11.7 -20.30 -2.0 8.11 -2.75 1.49 33.7 -9.00 7.5 18.93 5.15 1.82
-11.7 -20.30 -2.4 6.48 -2.07 1.45 33.7 -9.00 10.0 18.38 4.46 1.06
-9.2 -15.90 -5.4 3.33 1.34 2.63 33.7 -9.00 15.0 16.78 2.99 0.68
-9.2 -15.90 -5.0 4.77 -0.28 5.13 33.7 -9.00 20.0 14.95 1.23 0.87
-9.2 -15.90 -4.0 6.12 -0.01 4.28 33.7 -9.00 24.0 14.92 1.75 1.65
-9.2 -15.90 -3.0 8.21 -0.56 2.51 33.7 -12.00 24.0 18.41 1.73 0.55
-9.2 -15.90 -2.0 9.57 -0.64 1.05 33.7 -12.00 20.0 18.88 1.51 0.09
-9.2 -15.90 -1.0 11.72 -0.90 0.24 33.7 -12.00 15.0 19.03 2.79 -0.79
-9.2 -15.90 0.0 13.84 -1.08 0.08 33.7 -12.00 10.0 20.30 4.40 0.33
-9.2 -15.90 1.0 15.16 -1.44 0.25 33.7 -12.00 7.5 19.26 4.03 1.10
-9.2 -15.90 2.0 16.19 -1.47 0.24 33.7 -12.00 5.0 18.14 2.55 1.31
-9.2 -15.90 3.0 16.63 -1.53 0.31 33.7 -12.00 4.0 17.09 1.82 1.73
-9.2 -15.90 4.0 17.84 -1.61 0.48 33.7 -12.00 3.0 16.99 0.75 1.96










Table A-3 continued.
X (cm) Y (cm) Z (cm) U (cm/s) I (cm/s) W (cm/s) IX (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.2 -15.90 5.0 17.99 -1.73 0.74 33.7 -12.00 2.0 15.93 -0.16 2.19
-9.2 -15.90 7.5 19.04 -2.00 1.21 33.7 -15.00 2.1 15.74 -0.28 2.14
-9.2 -15.90 10.0 20.12 -2.29 1.78 33.7 -15.00 3.0 16.39 0.00 1.93
-9.2 -15.90 15.0 22.26 -2.16 2.48 33.7 -15.00 4.0 16.36 0.75 1.57
-9.2 -15.90 20.0 23.03 -2.19 3.29 33.7 -15.00 5.0 16.97 1.60 1.36
-9.2 -15.90 24.0 24.69 -2.23 3.87 33.7 -15.00 7.5 18.34 2.89 1.14
-8.0 -13.80 24.0 24.17 -3.05 4.56 33.7 -15.00 10.0 20.03 3.20 0.64
-8.0 -13.80 20.0 24.04 -3.10 3.97 33.7 -15.00 15.0 21.54 3.28 -0.41
-8.0 -13.80 15.0 22.63 -3.26 3.09 33.7 -15.00 20.0 22.41 2.50 -0.90
-8.0 -13.80 10.0 21.12 -2.97 2.12 33.7 -15.00 24.0 21.52 2.09 -0.31
-8.0 -13.80 7.5 19.64 -2.97 1.61 33.7 -18.00 24.0 23.68 2.04 -0.74
-8.0 -13.80 5.0 18.86 -2.86 1.00 33.7 -18.00 20.0 23.70 2.32 -0.78
-8.0 -13.80 4.0 18.32 -2.66 0.96 33.7 -18.00 15.0 21.65 2.42 0.13
-8.0 -13.80 3.0 17.51 -2.49 0.51 33.7 -18.00 10.0 19.94 2.72 0.64
-8.0 -13.80 2.0 16.96 -2.41 0.09 33.7 -18.00 7.5 17.94 2.41 1.05
-8.0 -13.80 1.0 16.87 -2.40 -0.06 33.7 -18.00 5.0 15.47 0.84 1.19
-8.0 -13.80 0.0 15.08 -2.18 -0.37 33.7 -18.00 4.0 15.76 0.26 1.58
-8.0 -13.80 -1.0 14.61 -2.15 -0.51 33.7 -18.00 3.0 15.18 -0.46 1.89
-8.0 -13.80 -2.0 12.99 -1.59 -0.89 33.7 -18.00 2.5 14.52 -0.49 1.62
-8.0 -13.80 -3.0 11.66 -1.46 -0.57 33.7 -23.00 2.2 11.34 0.55 0.09
-8.0 -13.80 -4.0 9.53 -1.30 0.30 33.7 -23.00 3.0 13.56 -0.79 0.27
-8.0 -13.80 -5.0 7.89 -1.87 3.44 33.7 -23.00 4.0 15.30 -0.66 0.80
-8.0 -13.80 -6.0 5.67 -2.00 6.72 33.7 -23.00 5.0 15.30 0.05 1.07
-8.0 -13.80 -7.0 1.77 -0.05 2.88 33.7 -23.00 7.5 17.80 1.54 0.99
-6.7 -11.60 24.0 24.64 -4.25 5.90 33.7 -23.00 10.0 20.22 2.05 0.66
-6.7 -11.60 20.0 24.19 -4.37 5.09 33.7 -23.00 15.0 21.45 1.93 0.42
-6.7 -11.60 15.0 23.66 -4.51 4.29 33.7 -23.00 20.0 22.90 1.64 0.05
-6.7 -11.60 10.0 22.04 -4.59 3.13 33.7 -23.00 24.0 23.84 1.69 -0.30
-6.7 -11.60 7.5 21.01 -4.41 2.76 33.7 -30.00 24.0 23.33 1.40 -0.01
-6.7 -11.60 5.0 19.23 -4.28 1.96 33.7 -30.00 20.0 22.74 1.39 0.06
-6.7 -11.60 4.0 19.32 -4.15 1.79 33.7 -30.00 15.0 21.34 1.48 0.33
-6.7 -11.60 3.0 18.89 -4.05 1.28 33.7 -30.00 10.0 19.84 1.21 0.48
-6.7 -11.60 2.0 17.66 -3.80 1.07 33.7 -30.00 7.5 18.35 1.13 0.66
-6.7 -11.60 1.0 17.71 -3.77 0.62 33.7 -30.00 5.0 16.11 0.89 0.46
-6.7 -11.60 0.0 16.87 -3.39 0.21 33.7 -30.00 4.0 14.90 0.63 0.30
-6.7 -11.60 -1.0 15.43 -3.21 -0.32 33.7 -30.00 3.0 14.65 0.47 0.23
-6.7 -11.60 -2.0 14.15 -3.01 -0.88 33.7 -30.00 2.0 13.14 0.61 -0.15
-6.7 -11.60 -3.0 12.67 -2.73 -1.83 33.7 -30.00 1.0 11.54 1.13 -0.15
-6.7 -11.60 -4.0 11.11 -2.93 -2.32 33.7 -30.00 0.4 10.12 2.03 -0.38


-6. 11.0 -5. 9.7 -.0 08


-4.05


1 -6.7 -11.60 -5.0


9.87


-0.82












Table A-4 Measulred time-averag~ed velocities for the T = 24 hours scour hole.


X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) IX ((cm) Y (cm)Z (cm) U (cm/s) IV (cm/s) W (cm/s)
-58.4 -0.03 20.0 29.50 1.38 0.16 -7.9 -13.83 -4.0 10.22 -2.82 -2.36
-58.4 -0.03 15.0 28.90 1.05 -0.04 -7.9 -13.83 -5.0 8.69 -3.79 -0.57
-58.4 -0.03 10.0 26.34 0.97 -0.65 -7.9 -13.83 -6.0 5.98 -5.14 1.37
-58.4 -0.03 7.5 23.46 0.71 -0.37 -7.9 -13.83 -7.0 4.77 -5.68 4.70
-58.4 -0.03 5.0 19.87 0.37 -0.70 -7.9 -13.83 -8.0 3.84 -6.91 9.20
-58.4 -0.03 4.0 18.40 0.08 -1.05 -6.7 -11.63 24.0 28.88 -6.97 3.25
-58.4 -0.03 3.0 14.84 -0.40 -1.46 -6.7 -11.63 20.0 28.91 -7.08 2.63
-58.4 -0.03 2.0 16.89 -0.98 -1.65 -6.7 -11.63 15.0 27.42 -6.93 1.31
-58.4 -0.03 1.5 11.77 -4.36 1.92 -6.7 -11.63 10.0 25.08 -6.48 0.10
-43.4 -0.03 24.0 29.76 0.71 -0.03 -6.7 -11.63 7.5 24.22 -6.35 -0.49
-43.4 -0.03 20.0 29.25 0.97 -0.38 -6.7 -11.63 5.0 22.43 -5.92 -1.29
-43.4 -0.03 15.0 28.09 0.52 -0.43 -6.7 -11.63 4.0 21.42 -5.57 -1.79
-43.4 -0.03 10.0 26.08 0.65 -0.72 -6.7 -11.63 3.0 20.92 -5.76 -1.99
-43.4 -0.03 7.5 22.77 1.11 -0.77 -6.7 -11.63 2.0 20.42 -5.35 -2.69
-43.4 -0.03 5.0 21.33 1.27 -0.62 -6.7 -11.63 1.0 18.26 -4.97 -2.85
-43.4 -0.03 4.0 19.13 1.49 0.01 -6.7 -11.63 0.0 17.42 -4.83 -3.24
-43.4 -0.03 3.0 15.42 1.77 1.02 -6.7 -11.63 -1.0 16.91 -4.60 -4.21
-33.4 -0.03 24.0 29.21 0.66 -0.48 -6.7 -11.63 -2.0 15.49 -4.28 -4.40
-33.4 -0.03 20.0 28.38 0.36 -0.79 -6.7 -11.63 -3.0 13.52 -3.58 -4.77
-33.4 -0.03 15.0 26.58 0.39 -1.14 -6.7 -11.63 -4.0 12.66 -4.00 -5.15
-33.4 -0.03 10.0 25.09 -0.21 -1.48 -6.7 -11.63 -5.0 11.01 -4.86 -4.33
-33.4 -0.03 7.5 21.64 -0.06 -1.44 -6.7 -11.63 -6.0 8.85 -4.88 -3.06
-33.4 -0.03 5.0 19.88 -0.11 -1.49 -6.7 -11.63 -7.0 7.85 -5.51 -0.88
-33.4 -0.03 4.0 18.33 -0.09 -1.40 -6.7 -11.63 -8.0 7.27 -6.25 1.70
-33.4 -0.03 3.0 14.78 0.50 -1.18 -6.7 -11.63 -9.0 6.44 -6.38 4.43
-33.4 -0.03 2.0 9.75 1.27 -1.47 -6.7 -11.63 -10.0 3.00 -5.23 4.63
-33.4 -0.03 1.0 1.65 -2.57 -0.06 -6.2 -10.73 24.0 30.11 -7.61 2.99
-28.4 -0.03 24.0 27.76 0.36 -0.64 -6.2 -10.73 20.0 29.15 -7.45 2.06
-28.4 -0.03 20.0 26.79 -0.17 -0.85 -6.2 -10.73 15.0 28.16 -7.50 1.09
-28.4 -0.03 15.0 25.80 -0.37 -1.31 -6.2 -10.73 10.0 27.06 -7.14 -0.24
-28.4 -0.03 10.0 24.48 -0.71 -2.00 -6.2 -10.73 7.5 26.03 -6.98 -0.95
-28.4 -0.03 7.5 23.20 -1.05 -2.07 -6.2 -10.73 5.0 24.18 -6.15 -1.74
-28.4 -0.03 5.0 21.30 -1.02 -2.22 -6.2 -10.73 4.0 23.39 -6.52 -2.07
-28.4 -0.03 4.0 17.40 -1.07 -1.35 -6.2 -10.73 3.0 22.57 -6.09 -2.53
-28.4 -0.03 3.0 14.28 -0.96 -0.94 -6.2 -10.73 2.0 21.13 -6.02 -2.66
-28.4 -0.03 2.0 11.42 -0.88 -0.66 -6.2 -10.73 1.0 20.89 -6.29 -3.31
-28.4 -0.03 1.0 6.43 -0.30 0.14 -6.2 -10.73 0.0 19.95 -5.95 -3.62
-28.4 -0.03 0.0 4.84 -0.42 -0.38 -6.2 -10.73 -1.0 18.46 -5.60 -3.82
-28.4 -0.03 -1.0 1.22 -0.70 -0.17 -6.2 -10.73 -2.0 16.97 -5.63 -4.01
-23.4 -0.03 24.0 25.96 0.23 -0.75 -6.2 -10.73 -3.0 15.02 -5.26 -4.42
-23.4 -0.03 20.0 26.05 -0.34 -1.32 -6.2 -10.73 -4.0 15.01 -5.62 -4.55
-23.4 -0.03 15.0 24.03 -0.78 -1.94 -6.2 -10.73 -5.0 13.07 -5.19 -4.62
-23.4 -0.03 10.0 21.93 -1.22 -2.15 -6.2 -10.73 -6.0 11.52 -5.65 -3.51
-23.4 -0.03 7.5 20.56 -1.24 -2.34 -6.2 -10.73 -7.0 10.48 -6.26 -2.29
-23.4 -0.03 5.0 18.86 -1.42 -2.35 -6.2 -10.73 -8.0 9.63 -7.08 -0.14










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-23.4 -0.03 4.0 16.99 -1.49 -2.20 -6.2 -10.73 -9.0 8.19 -7.08 2.10
-23.4 -0.03 3.0 14.92 -1.60 -1.61 -6.2 -10.73 -10.0 6.74 -6.30 4.37
-23.4 -0.03 2.0 12.88 -1.26 -1.17 -6.2 -10.73 -10.7 4.60 -4.56 4.40
-23.4 -0.03 1.0 10.24 -1.22 -0.73 -5.7 -9.93 24.0 29.85 -8.54 3.35
-23.4 -0.03 0.0 6.56 -1.09 0.23 -5.7 -9.93 20.0 28.78 -8.60 2.49
-23.4 -0.03 -1.0 3.89 -1.01 0.62 -5.7 -9.93 15.0 28.14 -8.44 1.61
-23.4 -0.03 -2.0 2.50 -0.45 0.72 -5.7 -9.93 10.0 26.27 -8.33 0.05
-23.4 -0.03 -3.0 0.34 0.61 1.03 -5.7 -9.93 7.5 26.75 -8.32 -0.47
-23.4 -0.03 -4.0 -1.11 0.86 -0.23 -5.7 -9.93 5.0 25.25 -7.81 -1.43
-18.4 -0.03 24.0 23.36 -0.66 -0.98 -5.7 -9.93 4.0 23.91 -7.69 -1.76
-18.4 -0.03 20.0 22.86 -0.96 -1.67 -5.7 -9.93 3.0 24.65 -7.66 -2.42
-18.4 -0.03 15.0 21.31 -1.46 -2.42 -5.7 -9.93 2.0 22.22 -7.31 -2.56
-18.4 -0.03 10.0 21.61 -2.41 -3.26 -5.7 -9.93 1.0 21.99 -7.50 -2.90
-18.4 -0.03 7.5 20.10 -2.63 -3.47 -5.7 -9.93 0.0 21.30 -7.14 -3.35
-18.4 -0.03 5.0 17.81 -2.65 -3.58 -5.7 -9.93 -1.0 19.80 -7.11 -3.83
-18.4 -0.03 4.0 16.94 -2.69 -3.55 -5.7 -9.93 -2.0 18.92 -7.09 -4.16
-18.4 -0.03 3.0 16.91 -2.84 -3.71 -5.7 -9.93 -3.0 17.79 -7.39 -4.57
-18.4 -0.03 2.0 13.54 -2.73 -2.95 -5.7 -9.93 -4.0 16.18 -7.53 -4.02
-18.4 -0.03 1.0 12.49 -2.70 -2.82 -5.7 -9.93 -5.0 14.06 -7.42 -4.44
-18.4 -0.03 0.0 9.35 -2.17 -2.08 -5.7 -9.93 -6.0 13.14 -7.30 -3.67
-18.4 -0.03 -1.0 7.65 -1.63 -1.53 -5.7 -9.93 -7.0 12.41 -7.70 -2.92
-18.4 -0.03 -2.0 5.92 -0.20 -1.67 -5.7 -9.93 -8.0 11.19 -7.96 -1.91
-18.4 -0.03 -3.0 5.11 0.46 -1.68 -5.7 -9.93 -9.0 9.60 -8.33 0.10
-18.4 -0.03 -4.0 4.07 0.71 -2.13 -5.7 -9.93 -10.0 8.17 -8.00 1.62
-18.4 -0.03 -5.0 2.61 -0.91 -1.27 -5.7 -9.93 -11.0 7.79 -5.73 3.56
-18.4 -0.03 -6.0 -0.09 -1.06 2.13 -5.7 -9.93 -11.8 3.45 -3.20 1.98
-18.4 -0.03 -7.0 -6.66 -0.44 2.58 -5.2 -9.03 24.0 30.58 -10.09 3.89
-15.9 -0.03 24.0 19.97 -1.17 -0.97 -5.2 -9.03 20.0 28.95 -9.65 3.00
-15.9 -0.03 20.0 19.62 -1.58 -1.66 -5.2 -9.03 15.0 29.38 -10.06 1.87
-15.9 -0.03 15.0 19.10 -2.16 -2.61 -5.2 -9.03 10.0 27.29 -9.79 0.46
-15.9 -0.03 10.0 17.42 -2.96 -3.37 -5.2 -9.03 7.5 27.18 -9.93 -0.29
-15.9 -0.03 7.5 17.40 -3.10 -3.96 -5.2 -9.03 5.0 24.38 -9.35 -1.05
-15.9 -0.03 5.0 16.09 -3.48 -4.50 -5.2 -9.03 4.0 24.46 -9.29 -1.41
-15.9 -0.03 4.0 15.35 -3.29 -4.59 -5.2 -9.03 3.0 24.01 -9.42 -1.86
-15.9 -0.03 3.0 14.54 -3.87 -4.46 -5.2 -9.03 2.0 23.43 -9.72 -2.60
-15.9 -0.03 2.0 13.69 -4.03 -4.48 -5.2 -9.03 1.0 22.14 -9.41 -2.81
-15.9 -0.03 1.0 11.97 -3.62 -4.57 -5.2 -9.03 0.0 21.67 -9.41 -3.05
-15.9 -0.03 0.0 10.41 -3.56 -4.20 -5.2 -9.03 -1.0 20.51 -9.33 -3.21
-15.9 -0.03 -1.0 8.61 -3.49 -3.98 -5.2 -9.03 -2.0 19.68 -9.22 -3.49
-15.9 -0.03 -2.0 7.05 -3.03 -3.68 -5.2 -9.03 -3.0 17.92 -8.83 -3.80
-15.9 -0.03 -3.0 4.56 -1.28 -4.28 -5.2 -9.03 -4.0 17.98 -9.21 -3.98
-15.9 -0.03 -4.0 3.13 -0.36 -4.61 -5.2 -9.03 -5.0 16.38 -8.94 -3.68
-15.9 -0.03 -5.0 2.49 -1.54 -4.05 -5.2 -9.03 -6.0 15.51 -9.54 -3.88
-15.9 -0.03 -6.0 0.70 -2.51 -3.40 -5.2 -9.03 -7.0 14.04 -8.89 -3.22
-15.9 -0.03 -7.0 -1.62 -2.42 -1.29 -5.2 -9.03 -8.0 12.19 -8.58 -2.71
-15.9 -0.03 -8.0 -4.05 -1.78 1.20 -5.2 -9.03 -9.0 10.70 -9.38 -1.14










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm)I (cm) IU (cm/s) V (cm/s)W (cm/s)
-15.9 -0.03 -9.0 -7.91 0.35 0.97 -5.2 -9.03 -10.0 7.07 -11.43 0.68
-13.4 -0.03 24.0 17.20 -1.95 -0.92 -5.2 -9.03 -11.0 2.44 -9.27 0.36
-13.4 -0.03 20.0 16.97 -2.38 -1.75 -5.2 -9.03 -12.0 3.88 -2.66 0.59
-13.4 -0.03 15.0 16.19 -3.12 -2.47 -5.2 -9.03 -12.2 3.65 -2.58 0.86
-13.4 -0.03 10.0 15.15 -3.71 -3.83 -4.7 -8.13 24.0 31.91 -12.09 5.11
-13.4 -0.03 7.5 14.54 -4.03 -4.39 -4.7 -8.13 20.0 32.71 -13.21 5.05
-13.4 -0.03 5.0 14.17 -4.63 -5.10 -4.7 -8.13 15.0 30.63 -13.04 3.60
-13.4 -0.03 4.0 13.80 -4.79 -5.43 -4.7 -8.13 10.0 30.30 -12.91 2.24
-13.4 -0.03 3.0 13.23 -5.03 -5.77 -4.7 -8.13 7.5 28.98 -12.11 1.22
-13.4 -0.03 2.0 12.36 -5.07 -5.98 -4.7 -8.13 5.0 28.21 -12.19 0.13
-13.4 -0.03 1.0 11.96 -5.42 -6.22 -4.7 -8.13 4.0 27.57 -13.08 0.25
-13.4 -0.03 0.0 11.17 -5.60 -6.51 -4.7 -8.13 3.0 27.81 -11.96 -0.02
-13.4 -0.03 -1.0 9.10 -5.67 -6.06 -4.7 -8.13 2.0 27.39 -12.32 -0.42
-13.4 -0.03 -2.0 7.82 -5.30 -6.09 -4.7 -8.13 1.0 26.43 -13.01 -0.84
-13.4 -0.03 -3.0 6.63 -4.99 -6.06 -4.7 -8.13 0.0 25.93 -13.09 -0.82
-13.4 -0.03 -4.0 5.13 -4.48 -6.40 -4.7 -8.13 -1.0 26.21 -14.52 -0.61
-13.4 -0.03 -5.0 3.69 -4.42 -5.50 -4.7 -8.13 -2.0 23.30 -12.93 -1.10
-13.4 -0.03 -6.0 2.19 -4.11 -4.91 -4.7 -8.13 -3.0 21.70 -12.10 -2.64
-13.4 -0.03 -7.0 1.08 -4.23 -3.20 -4.7 -8.13 -4.0 20.60 -11.68 -2.64
-13.4 -0.03 -8.0 -0.82 -3.49 -2.06 -4.7 -8.13 -5.0 19.48 -11.54 -2.89
-13.4 -0.03 -9.0 -2.82 -3.56 -0.01 -4.7 -8.13 -6.0 18.89 -11.98 -2.63
-13.4 -0.03 -10.0 -6.14 -1.51 1.14 -4.7 -8.13 -7.0 17.62 -12.35 -1.44
-12.4 -0.03 24.0 16.32 -2.86 -0.83 -4.7 -8.13 -8.0 16.03 -11.96 -1.70
-12.4 -0.03 20.0 15.49 -3.22 -1.58 -4.7 -8.13 -9.0 14.14 -11.55 -1.18
-12.4 -0.03 15.0 15.61 -4.03 -2.97 -4.7 -8.13 -10.0 11.04 -12.82 -0.69
-12.4 -0.03 10.0 13.87 -4.62 -3.97 -4.7 -8.13 -11.0 9.90 -13.36 0.99
-12.4 -0.03 7.5 13.16 -4.94 -3.97 -4.7 -8.13 -12.0 10.57 -9.83 1.99
-12.4 -0.03 5.0 12.49 -5.37 -5.25 -4.7 -8.13 -12.7 3.78 -3.62 0.40
-12.4 -0.03 4.0 12.28 -5.79 -5.46 0.0 -58.43 24.0 27.68 0.00 0.20
-12.4 -0.03 3.0 12.08 -6.09 -5.57 0.0 -58.43 20.0 27.31 0.35 -0.09
-12.4 -0.03 2.0 12.00 -6.49 -6.10 0.0 -58.43 15.0 25.04 0.46 0.12
-12.4 -0.03 1.0 10.93 -6.36 -6.08 0.0 -58.43 10.0 23.14 0.45 -0.14
-12.4 -0.03 0.0 11.08 -6.71 -6.51 0.0 -58.43 7.5 21.17 0.75 -0.48
-12.4 -0.03 -1.0 9.66 -7.01 -6.70 0.0 -58.43 5.0 18.45 1.20 -0.69
-12.4 -0.03 -2.0 9.02 -6.91 -6.82 0.0 -58.43 4.0 17.02 1.51 -0.72
-12.4 -0.03 -3.0 8.16 -7.05 -6.53 0.0 -58.43 3.0 11.27 -1.21 -0.18
-12.4 -0.03 -4.0 7.27 -6.38 -6.67 0.0 -58.43 2.5 1.80 -4.10 -0.36
-12.4 -0.03 -5.0 5.58 -5.89 -6.22 0.0 -43.43 24.0 28.47 0.06 0.11
-12.4 -0.03 -6.0 4.83 -6.19 -5.71 0.0 -43.43 20.0 26.15 0.17 0.00
-12.4 -0.03 -7.0 3.77 -6.12 -4.59 0.0 -43.43 15.0 25.17 0.33 -0.22
-12.4 -0.03 -8.0 2.18 -5.60 -3.18 0.0 -43.43 10.0 21.79 0.31 -0.43
-12.4 -0.03 -9.0 1.18 -5.68 -1.86 0.0 -43.43 7.5 19.76 0.34 -0.58
-12.4 -0.03 -10.0 -0.79 -5.12 0.41 0.0 -43.43 5.0 16.73 0.15 -0.56
-12.4 -0.03 -11.0 -6.06 -1.20 -0.66 0.0 -43.43 4.0 16.56 0.26 -0.59
-11.4 -0.03 -11.7 -3.53 -0.73 -0.22 0.0 -43.43 3.0 10.54 -1.37 -1.15
-11.4 -0.03 -11.0 -1.67 -5.47 0.79 0.0 -43.43 2.6 0.87 -5.67 -1.96










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-11.4 -0.03 -10.0 0.33 -6.15 -1.30 0.0 -33.43 24.0 29.40 -0.48 0.20
-11.4 -0.03 -9.0 1.82 -7.15 -3.08 0.0 -33.43 20.0 27.75 -0.20 0.10
-11.4 -0.03 -8.0 3.17 -7.36 -4.63 0.0 -33.43 15.0 25.78 0.05 -0.08
-11.4 -0.03 -7.0 4.03 -7.16 -5.35 0.0 -33.43 10.0 21.99 0.39 -0.42
-11.4 -0.03 -6.0 5.32 -7.41 -6.29 0.0 -33.43 7.5 20.31 0.21 -0.42
-11.4 -0.03 -5.0 5.73 -7.27 -6.76 0.0 -33.43 5.0 17.13 0.08 -0.28
-11.4 -0.03 -4.0 7.27 -7.64 -7.06 0.0 -33.43 4.0 15.73 -0.10 -0.17
-11.4 -0.03 -3.0 8.05 -7.76 -7.34 0.0 -33.43 3.0 14.43 -0.82 -0.55
-11.4 -0.03 -2.0 8.70 -8.03 -6.95 0.0 -33.43 2.0 10.58 -3.13 -0.10
-11.4 -0.03 -1.0 9.06 -7.51 -6.88 0.0 -33.43 1.4 7.98 -1.80 0.76
-11.4 -0.03 0.0 9.57 -7.42 -6.29 0.0 -28.43 24.0 30.27 -0.87 0.36
-11.4 -0.03 1.0 10.35 -7.11 -6.69 0.0 -28.43 20.0 29.29 -0.59 0.08
-11.4 -0.03 2.0 10.37 -6.42 -6.29 0.0 -28.43 15.0 27.21 -0.22 -0.45
-11.4 -0.03 3.0 11.17 -6.29 -5.97 0.0 -28.43 10.0 23.56 0.26 -0.48
-11.4 -0.03 4.0 11.26 -6.43 -5.51 0.0 -28.43 7.5 21.42 0.31 -0.62
-11.4 -0.03 5.0 11.81 -6.51 -5.24 0.0 -28.43 5.0 19.01 0.36 -0.45
-11.4 -0.03 7.5 12.66 -5.92 -4.54 0.0 -28.43 4.0 18.26 -0.07 -0.37
-11.4 -0.03 10.0 12.93 -5.25 -3.79 0.0 -28.43 3.0 16.62 0.00 -0.25
-11.4 -0.03 15.0 13.48 -4.57 -2.74 0.0 -28.43 2.0 14.75 -0.72 0.30
-11.4 -0.03 20.0 14.33 -4.19 -1.64 0.0 -28.43 1.0 12.63 -1.08 0.72
-11.4 -0.03 24.0 14.31 -3.80 -0.73 0.0 -28.43 0.0 9.66 -2.45 1.29
-10.4 -0.03 24.0 12.46 -4.51 -0.54 0.0 -28.43 -0.3 7.92 -1.50 1.03
-10.4 -0.03 20.0 11.93 -4.94 -1.43 0.0 -23.43 24.0 30.80 -1.38 0.57
-10.4 -0.03 15.0 11.59 -5.77 -2.16 0.0 -23.43 20.0 29.58 -1.05 0.23
-10.4 -0.03 10.0 10.70 -6.65 -3.53 0.0 -23.43 15.0 28.37 -0.79 -0.39
-10.4 -0.03 7.5 10.03 -6.87 -3.90 0.0 -23.43 10.0 24.18 -0.16 -0.70
-10.4 -0.03 5.0 10.31 -7.65 -4.84 0.0 -23.43 7.5 21.53 0.33 -0.87
-10.4 -0.03 4.0 9.34 -7.61 -5.21 0.0 -23.43 5.0 17.51 0.84 -0.95
-10.4 -0.03 3.0 9.99 -7.76 -5.84 0.0 -23.43 4.0 16.38 0.90 -0.86
-10.4 -0.03 2.0 9.23 -8.23 -5.68 0.0 -23.43 3.0 14.50 1.88 -0.94
-10.4 -0.03 1.0 8.46 -7.16 -6.55 0.0 -23.43 2.0 12.04 2.43 -0.87
-10.4 -0.03 0.0 8.71 -8.18 -6.76 0.0 -23.43 1.0 10.50 2.68 -0.33
-10.4 -0.03 -1.0 8.70 -8.78 -7.23 0.0 -23.43 0.0 9.22 2.51 0.94
-10.4 -0.03 -2.0 7.84 -8.48 -7.19 0.0 -23.43 -1.0 8.63 1.89 2.45
-10.4 -0.03 -3.0 7.95 -8.80 -7.80 0.0 -23.43 -2.0 7.93 1.04 4.61
-10.4 -0.03 -4.0 7.01 -9.01 -7.75 0.0 -23.43 -3.0 7.19 -0.53 5.11
-10.4 -0.03 -5.0 6.38 -9.09 -7.33 0.0 -23.43 -3.6 5.63 -0.65 3.53
-10.4 -0.03 -6.0 5.93 -9.69 -7.62 0.0 -18.43 -6.7 7.09 -4.75 7.83
-10.4 -0.03 -7.0 4.86 -8.86 -6.58 0.0 -18.43 -6.0 7.60 -3.38 6.70
-10.4 -0.03 -8.0 4.09 -9.60 -5.94 0.0 -18.43 -5.0 7.99 -2.40 3.36
-10.4 -0.03 -9.0 2.72 -8.99 -4.76 0.0 -18.43 -4.0 9.25 -0.86 0.51
-10.4 -0.03 -10.0 1.31 -8.72 -3.67 0.0 -18.43 -3.0 10.43 -0.50 -1.33
-10.4 -0.03 -11.0 -0.40 -7.98 -1.75 0.0 -18.43 -2.0 11.70 0.47 -2.33
-10.4 -0.03 -12.0 -2.39 -6.35 -0.07 0.0 -18.43 -1.0 13.20 0.61 -2.71
-10.4 -0.03 -12.3 -2.41 -3.84 -0.41 0.0 -18.43 0.0 14.17 0.61 -2.80
-9.4 -0.03 24.0 10.94 -7.44 1.27 0.0 -18.43 1.0 15.47 0.83 -2.93











Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) IX (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.4 -0.03 20.0 9.88 -7.58 0.00 0.0 -18.43 2.0 17.66 0.44 -2.78
-9.4 -0.03 15.0 8.71 -8.15 -1.57 0.0 -18.43 3.0 18.82 0.12 -2.22
-9.4 -0.03 10.0 7.76 -8.85 -3.09 0.0 -18.43 4.0 21.19 -0.01 -2.28
-9.4 -0.03 7.5 8.78 -9.18 -3.38 0.0 -18.43 5.0 22.83 -0.14 -2.08
-9.4 -0.03 5.0 8.72 -9.63 -4.28 0.0 -18.43 7.5 24.23 -0.74 -1.66
-9.4 -0.03 4.0 8.55 -10.28 -4.60 0.0 -18.43 10.0 26.66 -1.08 -1.51
-9.4 -0.03 3.0 8.28 -9.78 -4.96 0.0 -18.43 15.0 29.38 -1.84 -0.61
-9.4 -0.03 2.0 8.47 -10.33 -5.27 0.0 -18.43 20.0 30.54 -2.18 0.19
-9.4 -0.03 1.0 7.85 -9.77 -5.66 0.0 -18.43 24.0 31.33 -2.61 0.68
-9.4 -0.03 0.0 8.11 -10.79 -6.14 0.0 -15.93 24.0 31.46 -3.21 1.02
-9.4 -0.03 -1.0 7.48 -11.10 -6.30 0.0 -15.93 20.0 30.88 -3.02 0.14
-9.4 -0.03 -2.0 7.58 -11.84 -6.91 0.0 -15.93 15.0 29.20 -2.59 -0.72
-9.4 -0.03 -3.0 7.19 -12.35 -7.05 0.0 -15.93 10.0 26.72 -1.85 -1.56
-9.4 -0.03 -4.0 6.95 -12.42 -7.68 0.0 -15.93 7.5 25.87 -1.57 -1.96
-9.4 -0.03 -5.0 6.45 -11.95 -7.79 0.0 -15.93 5.0 24.72 -1.34 -2.43
-9.4 -0.03 -6.0 5.90 -12.31 -7.84 0.0 -15.93 4.0 22.58 -0.78 -2.25
-9.4 -0.03 -7.0 4.99 -11.95 -7.23 0.0 -15.93 3.0 21.47 -0.60 -2.63
-9.4 -0.03 -8.0 3.85 -10.86 -6.64 0.0 -15.93 2.0 20.53 -0.50 -2.30
-9.4 -0.03 -9.0 3.13 -11.10 -5.49 0.0 -15.93 1.0 18.89 -0.42 -2.95
-9.4 -0.03 -10.0 2.21 -11.42 -4.66 0.0 -15.93 0.0 16.51 0.02 -3.19
-9.4 -0.03 -11.0 0.94 -10.77 -3.46 0.0 -15.93 -1.0 16.70 0.24 -3.31
-9.4 -0.03 -12.0 0.40 -6.81 -1.59 0.0 -15.93 -2.0 14.22 0.19 -3.70
-9.4 -0.03 -12.7 2.42 -2.47 -0.13 0.0 -15.93 -3.0 12.90 -0.48 -3.55
-8.9 -0.03 24.0 7.30 -7.23 -0.17 0.0 -15.93 -4.0 10.96 -0.73 -2.59
-8.9 -0.03 20.0 6.96 -8.31 -1.03 0.0 -15.93 -5.0 9.76 -1.76 -0.68
-8.9 -0.03 15.0 6.28 -9.01 -2.48 0.0 -15.93 -6.0 8.94 -2.65 1.93
-8.9 -0.03 10.0 5.59 -10.32 -4.07 0.0 -15.93 -7.0 8.41 -3.62 4.28
-8.9 -0.03 7.5 5.08 -10.36 -5.22 0.0 -15.93 -8.0 7.17 -2.52 5.69
-8.9 -0.03 5.0 4.90 -10.94 -5.53 0.0 -15.93 -8.4 4.20 -0.90 2.43
-8.9 -0.03 4.0 4.47 -11.03 -5.85 0.0 -13.43 24.0 32.08 -4.57 1.18
-8.9 -0.03 3.0 4.66 -12.11 -6.09 0.0 -13.43 20.0 30.83 -4.37 0.33
-8.9 -0.03 2.0 3.94 -11.75 -6.21 0.0 -13.43 15.0 30.10 -3.77 -0.84
-8.9 -0.03 1.0 5.03 -13.95 -6.30 0.0 -13.43 10.0 28.58 -2.99 -1.87
-8.9 -0.03 0.0 2.96 -13.33 -7.99 0.0 -13.43 7.5 27.01 -2.41 -2.29
-8.9 -0.03 -1.0 3.06 -14.11 -7.54 0.0 -13.43 5.0 24.58 -1.66 -2.57
-8.9 -0.03 -2.0 3.47 -13.76 -8.89 0.0 -13.43 4.0 24.46 -1.91 -2.91
-8.9 -0.03 -3.0 2.99 -14.28 -8.39 0.0 -13.43 3.0 22.17 -1.22 -3.20
-8.9 -0.03 -4.0 1.45 -12.43 -8.28 0.0 -13.43 2.0 20.47 -1.19 -3.32
-8.9 -0.03 -5.0 1.68 -14.80 -6.44 0.0 -13.43 1.0 20.33 -1.11 -3.65
-8.9 -0.03 -6.0 4.90 -18.33 -4.92 0.0 -13.43 0.0 18.33 -0.80 -3.75
-8.9 -0.03 -7.0 1.74 -14.55 -8.46 0.0 -13.43 -1.0 16.83 -0.72 -4.24
-8.9 -0.03 -8.0 0.58 -15.43 -7.24 0.0 -13.43 -2.0 15.69 -1.23 -4.26
-8.9 -0.03 -9.0 4.43 -12.03 -5.48 0.0 -13.43 -3.0 15.17 -1.67 -3.88
-8.9 -0.03 -10.0 4.56 -4.57 -3.18 0.0 -13.43 -4.0 13.94 -1.70 -3.31
-8.9 -0.03 -11.0 0.77 -6.65 -3.51 0.0 -13.43 -5.0 13.48 -2.26 -2.32
-8.9 -0.03 -12.0 1.90 -1.65 -0.84 0.0 -13.43 -6.0 12.63 -2.43 -1.62










Table A-4 continued.
X (cm)lY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-50.6 -29.23 24.0 28.36 0.63 0.00 0.0 -13.43 -7.0 12.21 -3.21 0.00
-50.6 -29.23 20.0 28.04 0.63 -0.18 0.0 -13.43 -8.0 11.74 -3.38 1.72
-50.6 -29.23 15.0 27.05 0.70 -0.56 0.0 -13.43 -9.0 10.47 -3.81 4.37
-50.6 -29.23 10.0 23.86 0.61 -0.87 0.0 -13.43 -9.7 8.72 -2.78 5.64
-50.6 -29.23 7.5 21.94 0.41 -1.22 0.0 -12.43 -10.2 9.67 -3.12 5.44
-50.6 -29.23 5.0 18.75 -0.04 -1.52 0.0 -12.43 -10.0 10.75 -3.89 5.48
-50.6 -29.23 4.0 17.32 -0.09 -1.92 0.0 -12.43 -9.0 11.63 -3.11 2.11
-50.6 -29.23 3.0 16.31 -0.05 -3.18 0.0 -12.43 -8.0 12.77 -3.23 -0.13
-50.6 -29.23 2.0 8.29 0.19 -3.88 0.0 -12.43 -7.0 13.37 -2.78 -1.06
-37.6 -21.73 24.0 28.75 0.24 -0.23 0.0 -12.43 -6.0 14.68 -2.64 -2.42
-37.6 -21.73 20.0 27.96 0.27 -0.42 0.0 -12.43 -5.0 15.75 -2.34 -2.87
-37.6 -21.73 15.0 26.67 0.43 -0.80 0.0 -12.43 -4.0 17.23 -2.10 -3.58
-37.6 -21.73 10.0 23.61 0.58 -0.89 0.0 -12.43 -3.0 17.89 -1.75 -4.12
-37.6 -21.73 7.5 22.02 0.44 -1.07 0.0 -12.43 -2.0 19.08 -2.16 -4.08
-37.6 -21.73 5.0 18.94 0.78 -1.34 0.0 -12.43 -1.0 20.71 -1.91 -4.19
-37.6 -21.73 4.0 16.87 0.76 -1.30 0.0 -12.43 0.0 22.34 -1.67 -4.20
-37.6 -21.73 3.0 13.59 0.55 -1.45 0.0 -12.43 1.0 24.42 -2.29 -4.20
-37.6 -21.73 2.0 5.25 -2.64 -0.59 0.0 -12.43 2.0 24.81 -2.32 -3.84
-37.6 -21.73 1.5 2.52 -1.63 0.13 0.0 -12.43 3.0 26.46 -2.35 -3.75
-28.9 -16.73 24.0 28.86 -0.28 -0.02 0.0 -12.43 4.0 26.72 -2.91 -3.64
-28.9 -16.73 20.0 28.18 -0.33 -0.52 0.0 -12.43 5.0 27.47 -3.14 -3.39
-28.9 -16.73 15.0 26.82 -0.27 -1.04 0.0 -12.43 7.5 28.62 -3.19 -2.67
-28.9 -16.73 10.0 24.52 -0.30 -1.49 0.0 -12.43 10.0 29.62 -3.72 -2.10
-28.9 -16.73 7.5 22.84 -0.50 -1.76 0.0 -12.43 15.0 31.45 -4.56 -0.84
-28.9 -16.73 5.0 20.78 0.02 -2.69 0.0 -12.43 20.0 32.75 -4.96 0.04
-28.9 -16.73 4.0 19.22 0.03 -2.96 0.0 -12.43 24.0 32.68 -5.15 1.27
-28.9 -16.73 3.0 18.17 0.36 -3.14 0.0 -11.43 24.0 32.33 -5.74 1.27
-28.9 -16.73 2.0 17.96 -0.06 -3.41 0.0 -11.43 20.0 33.42 -5.66 0.14
-28.9 -16.73 1.3 17.77 -2.83 -1.23 0.0 -11.43 15.0 32.49 -4.85 -0.84
-24.6 -14.23 24.0 28.70 -0.79 0.00 0.0 -11.43 10.0 29.83 -4.28 -2.04
-24.6 -14.23 20.0 26.91 -1.04 -0.22 0.0 -11.43 7.5 29.46 -3.63 -2.80
-24.6 -14.23 15.0 27.02 -1.04 -1.02 0.0 -11.43 5.0 28.71 -3.13 -3.48
-24.6 -14.23 10.0 24.33 -1.21 -1.54 0.0 -11.43 4.0 28.04 -3.15 -3.86
-24.6 -14.23 7.5 21.21 -1.19 -1.62 0.0 -11.43 3.0 27.26 -2.78 -3.91
-24.6 -14.23 5.0 17.40 -0.61 -2.18 0.0 -11.43 2.0 26.42 -2.74 -4.15
-24.6 -14.23 4.0 16.63 -0.54 -2.29 0.0 -11.43 1.0 25.07 -2.35 -4.40
-24.6 -14.23 3.0 15.58 -0.48 -2.46 0.0 -11.43 0.0 24.06 -2.59 -4.44
-24.6 -14.23 2.0 15.47 -0.45 -2.97 0.0 -11.43 -1.0 22.72 -2.61 -4.34
-24.6 -14.23 1.0 14.52 -0.96 -3.21 0.0 -11.43 -2.0 22.28 -3.03 -4.39
-24.6 -14.23 0.0 10.49 -3.33 -1.89 0.0 -11.43 -3.0 19.91 -2.55 -4.29
-24.6 -14.23 -1.0 2.88 -2.34 -0.15 0.0 -11.43 -4.0 18.26 -2.46 -3.90
-20.3 -11.73 24.0 27.28 -1.75 0.36 0.0 -11.43 -5.0 17.21 -2.35 -3.59
-20.3 -11.73 20.0 26.88 -1.75 -0.26 0.0 -11.43 -6.0 15.66 -2.58 -3.19
-20.3 -11.73 15.0 25.07 -1.86 -0.95 0.0 -11.43 -7.0 14.39 -2.71 -1.99
-20.3 -11.73 10.0 23.13 -1.66 -1.82 0.0 -11.43 -8.0 13.89 -3.45 -0.91
-20.3 -11.73 7.5 20.50 -1.69 -2.02 0.0 -11.43 -9.0 14.03 -4.23 1.15










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) IX (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-20.3 -11.73 5.0 16.19 -1.27 -2.22 0.0 -11.43 -10.0 13.15 -4.13 3.51
-20.3 -11.73 4.0 15.08 -1.38 -1.87 0.0 -11.43 -11.0 8.90 -2.99 4.09
-20.3 -11.73 3.0 13.93 -1.16 -2.22 0.0 -10.43 -11.7 10.69 -4.26 3.52
-20.3 -11.73 2.0 13.47 -1.00 -1.89 0.0 -10.43 -11.0 14.29 -5.61 3.20
-20.3 -11.73 1.0 12.36 -1.30 -1.78 0.0 -10.43 -10.0 14.79 -4.68 0.77
-20.3 -11.73 0.0 11.29 -1.44 -1.58 0.0 -10.43 -9.0 15.20 -4.29 -0.82
-20.3 -11.73 -1.0 7.86 -1.43 -0.59 0.0 -10.43 -8.0 15.58 -3.72 -2.11
-20.3 -11.73 -2.0 6.18 -2.03 0.23 0.0 -10.43 -7.0 17.17 -3.64 -2.94
-20.3 -11.73 -3.0 3.53 -1.42 0.72 0.0 -10.43 -6.0 17.92 -3.10 -3.69
-20.3 -11.73 -3.8 2.01 -0.56 0.20 0.0 -10.43 -5.0 18.86 -3.17 -4.25
-15.9 -9.23 24.0 25.58 -2.96 0.97 0.0 -10.43 -4.0 20.32 -2.97 -4.42
-15.9 -9.23 20.0 24.82 -3.22 0.22 0.0 -10.43 -3.0 20.93 -3.02 -4.41
-15.9 -9.23 15.0 24.50 -3.42 -0.58 0.0 -10.43 -2.0 22.41 -2.87 -4.61
-15.9 -9.23 10.0 23.28 -3.28 -1.76 0.0 -10.43 -1.0 24.20 -3.20 -4.45
-15.9 -9.23 7.5 21.63 -3.31 -2.25 0.0 -10.43 0.0 25.14 -3.30 -4.44
-15.9 -9.23 5.0 19.68 -2.82 -2.76 0.0 -10.43 1.0 25.78 -3.39 -4.42
-15.9 -9.23 4.0 18.39 -2.79 -2.71 0.0 -10.43 2.0 27.09 -4.00 -4.18
-15.9 -9.23 3.0 17.17 -2.39 -2.75 0.0 -10.43 3.0 27.07 -3.99 -3.86
-15.9 -9.23 2.0 16.09 -2.30 -2.84 0.0 -10.43 4.0 28.46 -4.24 -3.69
-15.9 -9.23 1.0 13.85 -2.29 -2.67 0.0 -10.43 5.0 29.10 -4.40 -3.81
-15.9 -9.23 0.0 13.41 -2.11 -2.42 0.0 -10.43 7.5 30.78 -5.17 -2.96
-15.9 -9.23 -1.0 11.29 -1.65 -2.40 0.0 -10.43 10.0 31.63 -5.55 -2.45
-15.9 -9.23 -2.0 10.39 -1.80 -1.76 0.0 -10.43 15.0 33.43 -6.13 -0.99
-15.9 -9.23 -3.0 8.81 -2.34 -0.60 0.0 -10.43 20.0 33.66 -6.22 -0.05
-15.9 -9.23 -4.0 8.06 -3.03 0.42 0.0 -10.43 24.0 34.12 -6.77 0.87
-15.9 -9.23 -5.0 5.10 -2.64 3.40 0.0 -9.43 24.0 35.37 -7.18 0.46
-15.9 -9.23 -6.0 0.93 -2.90 4.41 0.0 -9.43 20.0 35.44 -6.87 -0.09
-15.9 -9.23 -7.0 -4.79 0.26 -1.09 0.0 -9.43 15.0 34.00 -6.60 -1.48
-13.8 -7.93 24.0 25.01 -4.09 1.40 0.0 -9.43 10.0 32.52 -6.38 -2.52
-13.8 -7.93 20.0 25.31 -4.50 0.74 0.0 -9.43 7.5 32.37 -5.90 -3.06
-13.8 -7.93 15.0 24.30 -4.64 -0.28 0.0 -9.43 5.0 30.86 -5.79 -3.97
-13.8 -7.93 10.0 22.25 -4.38 -1.55 0.0 -9.43 4.0 30.73 -5.63 -4.42
-13.8 -7.93 7.5 21.46 -4.23 -2.11 0.0 -9.43 3.0 30.22 -5.76 -4.77
-13.8 -7.93 5.0 20.19 -4.40 -2.75 0.0 -9.43 2.0 29.42 -5.19 -5.41
-13.8 -7.93 4.0 19.79 -4.16 -2.88 0.0 -9.43 1.0 27.70 -4.94 -5.15
-13.8 -7.93 3.0 18.81 -4.00 -3.10 0.0 -9.43 0.0 28.10 -5.27 -5.70
-13.8 -7.93 2.0 17.79 -3.94 -3.42 0.0 -9.43 -1.0 26.55 -5.12 -5.58
-13.8 -7.93 1.0 16.66 -4.01 -3.21 0.0 -9.43 -2.0 26.60 -5.24 -6.07
-13.8 -7.93 0.0 15.33 -3.46 -3.67 0.0 -9.43 -3.0 24.92 -5.14 -5.81
-13.8 -7.93 -1.0 13.27 -3.15 -3.50 0.0 -9.43 -4.0 23.64 -5.30 -5.82
-13.8 -7.93 -2.0 11.86 -2.69 -3.84 0.0 -9.43 -5.0 22.56 -5.30 -5.73
-13.8 -7.93 -3.0 9.66 -2.55 -4.18 0.0 -9.43 -6.0 22.63 -5.53 -4.94
-13.8 -7.93 -4.0 9.40 -3.21 -3.68 0.0 -9.43 -7.0 20.89 -5.69 -4.41
-13.8 -7.93 -5.0 7.71 -3.60 -2.31 0.0 -9.43 -8.0 19.89 -5.97 -3.72
-13.8 -7.93 -6.0 4.84 -5.20 -0.56 0.0 -9.43 -9.0 18.05 -5.91 -2.51
-13.8 -7.93 -7.0 2.93 -3.98 2.37 0.0 -9.43 -10.0 17.78 -6.86 -1.36










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) (X (cm) Y (cm) Z (cm) U(cm/s) (cm/s) s) W (cm/s)
-13.8 -7.93 -8.0 -0.69 -1.14 0.75 0.0 -9.43 -11.0 16.91 -7.77 -0.01
-13.8 -7.93 -8.6 -8.51 -1.58 -2.20 0.0 -9.43 -12.0 15.90 -7.08 1.49
-11.6 -6.73 24.0 23.11 -6.07 1.93 16.8 -0.03 24.0 2.49 1.23 4.78
-11.6 -6.73 20.0 23.25 -6.67 1.29 16.8 -0.03 20.0 3.91 2.02 6.05
-11.6 -6.73 15.0 22.06 -6.60 0.23 16.8 -0.03 15.0 4.70 -0.74 7.02
-11.6 -6.73 10.0 20.86 -6.90 -1.11 16.8 -0.03 10.0 8.70 -5.95 8.08
-11.6 -6.73 7.5 18.70 -6.63 -1.89 16.8 -0.03 7.5 10.84 -4.56 8.28
-11.6 -6.73 5.0 18.30 -6.91 -2.49 16.8 -0.03 5.0 11.62 -2.85 7.20
-11.6 -6.73 4.0 17.61 -6.42 -2.90 16.8 -0.03 4.0 12.55 -2.29 7.06
-11.6 -6.73 3.0 17.20 -6.68 -3.20 16.8 -0.03 3.0 13.27 -0.08 5.90
-11.6 -6.73 2.0 16.14 -6.39 -3.53 16.8 -0.03 2.0 12.57 1.29 5.42
-11.6 -6.73 1.0 16.03 -6.39 -3.53 16.8 -0.03 1.0 13.65 3.41 5.49
-11.6 -6.73 0.0 15.39 -6.58 -3.74 16.8 -0.03 0.0 13.32 3.61 3.02
-11.6 -6.73 -1.0 13.97 -6.42 -3.87 16.8 -0.03 -1.0 13.11 3.63 3.19
-11.6 -6.73 -2.0 13.52 -6.20 -4.39 16.8 -0.03 -2.0 13.19 5.72 2.11
-11.6 -6.73 -3.0 12.75 -6.41 -4.54 16.8 -0.03 -3.0 13.39 5.88 1.44
-11.6 -6.73 -4.0 10.67 -5.64 -4.20 16.8 -0.03 -4.0 12.75 5.05 0.92
-11.6 -6.73 -5.0 10.22 -5.48 -4.75 16.8 -0.03 -5.0 12.75 5.24 0.92
-11.6 -6.73 -6.0 8.58 -5.85 -4.13 16.8 -0.03 -6.0 12.91 5.49 0.66
-11.6 -6.73 -7.0 6.56 -6.30 -3.08 16.8 -0.03 -7.0 11.33 3.87 0.46
-11.6 -6.73 -8.0 4.61 -6.66 -0.41 16.8 -0.03 -8.0 9.46 0.94 0.10
-11.6 -6.73 -9.0 2.97 -6.45 1.66 16.8 -3.03 24.0 4.85 1.78 4.01
-11.6 -6.73 -10.0 -0.95 -4.86 2.48 16.8 -3.03 20.0 5.23 2.56 4.16
-11.6 -6.73 -10.4 1.64 -5.76 4.45 16.8 -3.03 15.0 6.29 -0.04 5.48
-10.7 -6.23 24.0 22.40 -7.55 2.29 16.8 -3.03 10.0 9.12 -0.92 6.51
-10.7 -6.23 20.0 21.80 -7.59 1.91 16.8 -3.03 7.5 10.14 0.03 5.00
-10.7 -6.23 15.0 21.68 -7.97 0.82 16.8 -3.03 5.0 12.31 2.88 4.00
-10.7 -6.23 10.0 20.36 -8.34 -0.57 16.8 -3.03 4.0 13.99 5.76 3.46
-10.7 -6.23 7.5 19.37 -8.02 -1.37 16.8 -3.03 3.0 14.56 6.72 3.03
-10.7 -6.23 5.0 19.36 -8.57 -2.19 16.8 -3.03 2.0 14.38 6.03 2.96
-10.7 -6.23 4.0 18.30 -8.03 -2.49 16.8 -3.03 1.0 14.29 7.40 2.91
-10.7 -6.23 3.0 18.75 -8.62 -2.92 16.8 -3.03 0.0 14.40 8.40 1.51
-10.7 -6.23 2.0 18.41 -8.71 -3.06 16.8 -3.03 -1.0 14.00 7.16 1.12
-10.7 -6.23 1.0 16.67 -8.56 -3.23 16.8 -3.03 -2.0 13.87 7.63 1.29
-10.7 -6.23 0.0 15.42 -8.76 -3.42 16.8 -3.03 -3.0 12.89 6.45 1.13
-10.7 -6.23 -1.0 14.75 -8.36 -3.70 16.8 -3.03 -4.0 12.79 6.37 1.51
-10.7 -6.23 -2.0 13.97 -8.32 -3.85 16.8 -3.03 -5.0 12.80 6.00 2.05
-10.7 -6.23 -3.0 13.11 -8.28 -4.36 16.8 -3.03 -6.0 12.78 4.60 2.00
-10.7 -6.23 -4.0 11.42 -8.25 -4.05 16.8 -3.03 -7.0 12.20 2.78 2.51
-10.7 -6.23 -5.0 10.57 -7.90 -4.39 16.8 -6.03 24.0 7.81 1.00 -0.01
-10.7 -6.23 -6.0 9.08 -7.58 -3.66 16.8 -6.03 20.0 10.99 3.33 0.84
-10.7 -6.23 -7.0 7.80 -7.52 -3.04 16.8 -6.03 15.0 11.04 2.20 1.82
-10.7 -6.23 -8.0 5.87 -7.63 -1.89 16.8 -6.03 10.0 14.56 3.10 1.28
-10.7 -6.23 -9.0 3.78 -7.60 0.45 16.8 -6.03 7.5 17.16 6.99 0.56
-10.7 -6.23 -10.0 2.69 -5.98 2.42 16.8 -6.03 5.0 18.10 8.51 -0.03
-10.7 -6.23 -11.0 -3.44 -0.80 -0.95 16.8 -6.03 4.0 17.96 8.91 0.42










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s)I W (cm/s) X (cm) Y (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s)
-9.9 -5.73 24.0 20.76 -8.88 3.26 16.8 -6.03 3.0 18.48 9.38 0.39
-9.9 -5.73 20.0 20.03 -8.95 2.38 16.8 -6.03 2.0 17.30 8.80 0.77
-9.9 -5.73 15.0 19.74 -9.17 1.31 16.8 -6.03 1.0 16.99 9.02 0.93
-9.9 -5.73 10.0 19.37 -9.69 -0.12 16.8 -6.03 0.0 15.76 8.10 0.90
-9.9 -5.73 7.5 18.50 -9.40 -0.95 16.8 -6.03 -1.0 14.02 7.35 1.05
-9.9 -5.73 5.0 17.73 -9.49 -1.90 16.8 -6.03 -2.0 14.00 6.87 1.21
-9.9 -5.73 4.0 17.45 -9.80 -2.35 16.8 -6.03 -3.0 12.68 6.43 1.51
-9.9 -5.73 3.0 16.85 -9.41 -2.66 16.8 -6.03 -4.0 12.17 5.14 1.94
-9.9 -5.73 2.0 16.97 -9.54 -3.31 16.8 -6.03 -5.0 12.40 4.27 2.57
-9.9 -5.73 1.0 16.90 -9.90 -3.54 16.8 -6.03 -6.0 13.42 3.34 3.82
-9.9 -5.73 0.0 15.36 -9.95 -3.81 16.8 -9.03 24.0 18.40 2.67 -1.87
-9.9 -5.73 -1.0 14.67 -9.40 -4.17 16.8 -9.03 20.0 18.71 3.18 -1.50
-9.9 -5.73 -2.0 14.12 -9.29 -4.37 16.8 -9.03 15.0 20.80 4.31 -1.72
-9.9 -5.73 -3.0 11.86 -9.27 -4.40 16.8 -9.03 10.0 21.82 5.93 -2.07
-9.9 -5.73 -4.0 11.26 -8.68 -4.70 16.8 -9.03 7.5 22.56 7.34 -2.00
-9.9 -5.73 -5.0 10.54 -8.75 -4.71 16.8 -9.03 5.0 21.38 7.89 -0.83
-9.9 -5.73 -6.0 8.91 -8.26 -4.57 16.8 -9.03 4.0 20.57 7.66 -0.49
-9.9 -5.73 -7.0 7.71 -8.18 -3.53 16.8 -9.03 3.0 19.70 7.56 -0.34
-9.9 -5.73 -8.0 6.09 -8.04 -3.18 16.8 -9.03 2.0 18.62 7.53 0.25
-9.9 -5.73 -9.0 3.54 -8.36 -1.22 16.8 -9.03 1.0 16.73 6.40 0.35
-9.9 -5.73 -10.0 3.16 -7.92 0.92 16.8 -9.03 0.0 15.32 5.89 0.78
-9.9 -5.73 -11.0 1.55 -3.71 1.17 16.8 -9.03 -1.0 13.38 5.00 1.00
-9.9 -5.73 -11.7 -2.83 -1.48 -0.76 16.8 -9.03 -2.0 12.83 4.63 1.19
-9.0 -5.23 24.0 21.06 -10.86 3.98 16.8 -9.03 -3.0 12.20 4.12 1.80
-9.0 -5.23 20.0 19.58 -10.59 3.33 16.8 -9.03 -4.0 12.26 2.64 2.61
-9.0 -5.23 15.0 19.76 -10.80 2.21 16.8 -9.03 -5.0 13.71 2.01 4.03
-9.0 -5.23 10.0 18.34 -10.98 0.59 16.8 -9.03 -5.4 13.44 1.40 3.71
-9.0 -5.23 7.5 17.75 -11.23 -0.12 16.8 -12.03 24.0 27.59 1.95 -2.87
-9.0 -5.23 5.0 17.50 -11.64 -0.92 16.8 -12.03 20.0 27.47 2.35 -3.11
-9.0 -5.23 4.0 16.93 -11.47 -1.60 16.8 -12.03 15.0 27.76 3.86 -2.76
-9.0 -5.23 3.0 17.47 -11.96 -2.13 16.8 -12.03 10.0 26.46 4.95 -1.89
-9.0 -5.23 2.0 16.27 -11.45 -2.50 16.8 -12.03 7.5 24.59 5.09 -1.05
-9.0 -5.23 1.0 16.30 -11.62 -3.14 16.8 -12.03 5.0 22.99 5.42 -0.25
-9.0 -5.23 0.0 15.53 -11.91 -3.55 16.8 -12.03 4.0 22.25 5.84 -0.48
-9.0 -5.23 -1.0 14.43 -11.16 -4.03 16.8 -12.03 3.0 22.25 6.12 -0.47
-9.0 -5.23 -2.0 13.60 -11.12 -4.67 16.8 -12.03 2.0 20.58 6.16 -0.10
-9.0 -5.23 -3.0 12.76 -11.63 -4.83 16.8 -12.03 1.0 18.37 5.47 0.30
-9.0 -5.23 -4.0 11.83 -10.66 -5.33 16.8 -12.03 0.0 15.99 4.72 0.27
-9.0 -5.23 -5.0 11.11 -11.46 -5.23 16.8 -12.03 -1.0 15.15 3.95 0.78
-9.0 -5.23 -6.0 9.84 -10.53 -5.46 16.8 -12.03 -2.0 13.98 2.94 1.52
-9.0 -5.23 -7.0 8.76 -10.51 -4.48 16.8 -12.03 -3.0 14.12 1.95 2.12
-9.0 -5.23 -8.0 7.31 -9.90 -3.90 16.8 -12.03 -4.0 14.17 1.15 2.87
-9.0 -5.23 -9.0 3.93 -10.09 -2.87 16.8 -15.03 24.0 30.73 1.05 -2.86
-9.0 -5.23 -10.0 3.94 -9.87 -0.90 16.8 -15.03 20.0 30.32 2.09 -2.63
-9.0 -5.23 -11.0 3.09 -8.43 0.89 16.8 -15.03 15.0 28.90 2.91 -2.15
-9.0 -5.23 -12.0 1.69 -2.58 0.87 16.8 -15.03 10.0 26.76 3.94 -1.55










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) IY (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-9.0 -5.23 -12.4 0.49 -1.39 -0.07 16.8 -15.03 7.5 24.96 4.52 -0.68
-8.1 -4.73 24.0 17.89 -11.72 4.74 16.8 -15.03 5.0 22.94 4.78 -0.23
-8.1 -4.73 20.0 17.82 -12.56 3.48 16.8 -15.03 4.0 22.22 4.71 -0.20
-8.1 -4.73 15.0 16.92 -12.50 2.11 16.8 -15.03 3.0 20.65 4.61 0.03
-8.1 -4.73 10.0 16.01 -13.41 0.76 16.8 -15.03 2.0 18.63 4.38 0.12
-8.1 -4.73 7.5 14.71 -12.72 0.18 16.8 -15.03 1.0 17.19 3.87 0.67
-8.1 -4.73 5.0 14.94 -13.53 -0.43 16.8 -15.03 0.0 15.08 2.70 0.80
-8.1 -4.73 4.0 14.57 -13.09 -1.11 16.8 -15.03 -1.0 14.35 1.91 1.34
-8.1 -4.73 3.0 13.97 -13.36 -1.24 16.8 -15.03 -2.0 13.70 0.50 2.68
-8.1 -4.73 2.0 13.75 -13.29 -1.60 16.8 -15.03 -3.0 13.25 -0.05 3.28
-8.1 -4.73 1.0 13.25 -13.06 -2.62 16.8 -15.03 -3.5 12.68 -0.74 2.68
-8.1 -4.73 0.0 14.18 -13.73 -1.76 16.8 -18.03 24.0 31.15 0.85 -2.00
-8.1 -4.73 -1.0 12.32 -13.13 -3.53 16.8 -18.03 20.0 30.25 1.53 -1.99
-8.1 -4.73 -2.0 11.53 -12.95 -3.66 16.8 -18.03 15.0 28.86 2.18 -1.63
-8.1 -4.73 -3.0 11.73 -13.08 -4.21 16.8 -18.03 10.0 27.05 3.03 -1.04
-8.1 -4.73 -4.0 11.28 -13.15 -4.51 16.8 -18.03 7.5 24.77 3.58 -0.48
-8.1 -4.73 -5.0 10.66 -13.58 -4.93 16.8 -18.03 5.0 21.48 3.71 0.19
-8.1 -4.73 -6.0 9.81 -12.86 -5.03 16.8 -18.03 4.0 20.46 3.35 0.18
-8.1 -4.73 -7.0 9.31 -13.10 -4.25 16.8 -18.03 3.0 18.32 3.48 0.38
-8.1 -4.73 -8.0 8.19 -12.66 -4.17 16.8 -18.03 2.0 16.77 2.07 0.79
-8.1 -4.73 -9.0 7.21 -12.40 -3.24 16.8 -18.03 1.0 15.64 1.36 1.07
-8.1 -4.73 -10.0 6.51 -12.36 -2.03 16.8 -18.03 0.0 13.96 0.29 2.25
-8.1 -4.73 -11.0 5.49 -12.77 -0.40 16.8 -18.03 -1.0 13.88 -1.07 3.36
-8.1 -4.73 -12.0 4.90 -10.22 1.00 16.8 -18.03 -1.7 12.95 -1.49 4.09
-8.1 -4.73 -12.9 4.38 -6.34 1.64 16.8 -23.03 24.0 30.08 0.75 -1.22
-7.7 -4.43 24.0 17.74 -13.62 6.04 16.8 -23.03 20.0 29.78 1.24 -1.41
-7.7 -4.43 20.0 18.12 -14.40 5.16 16.8 -23.03 15.0 28.03 1.79 -0.90
-7.7 -4.43 15.0 17.55 -15.02 3.76 16.8 -23.03 10.0 25.88 2.00 -0.49
-7.7 -4.43 10.0 16.71 -15.73 2.39 16.8 -23.03 7.5 23.21 2.13 0.13
-7.7 -4.43 7.5 16.10 -15.72 1.31 16.8 -23.03 5.0 18.28 2.10 0.84
-7.7 -4.43 5.0 15.30 -15.54 0.39 16.8 -23.03 4.0 17.68 1.53 1.16
-7.7 -4.43 4.0 14.78 -14.90 0.03 16.8 -23.03 3.0 15.09 0.15 1.87
-7.7 -4.43 3.0 13.53 -14.88 -0.59 16.8 -23.03 2.0 12.95 -1.96 2.69
-7.7 -4.43 2.0 13.94 -15.61 -1.28 16.8 -23.03 1.0 13.11 -3.26 3.27
-7.7 -4.43 1.0 13.53 -15.88 -1.57 16.8 -23.03 0.7 13.31 -2.61 3.29
-7.7 -4.43 0.0 13.29 -15.85 -1.74 16.8 -30.03 24.0 28.99 0.56 -0.82
-7.7 -4.43 -1.0 13.10 -16.33 -2.35 16.8 -30.03 20.0 28.11 0.77 -0.79
-7.7 -4.43 -2.0 12.78 -15.96 -3.09 16.8 -30.03 15.0 25.99 0.98 -0.40
-7.7 -4.43 -3.0 11.83 -15.68 -3.32 16.8 -30.03 10.0 23.70 0.98 -0.24
-7.7 -4.43 -4.0 11.22 -15.97 -3.87 16.8 -30.03 7.5 21.95 0.66 -0.03
-7.7 -4.43 -5.0 10.48 -15.77 -3.95 16.8 -30.03 5.0 19.52 -0.25 -0.10
-7.7 -4.43 -6.0 9.92 -15.39 -4.15 16.8 -30.03 4.0 18.17 -0.75 0.29
-7.7 -4.43 -7.0 9.54 -15.39 -4.16 16.8 -30.03 3.0 17.05 -1.60 0.59
-7.7 -4.43 -8.0 8.53 -15.17 -4.03 16.8 -30.03 2.4 16.63 -1.52 0.46
-7.7 -4.43 -9.0 7.51 -14.85 -3.40 33.6 -30.03 24.0 28.34 0.78 -0.69
-7.7 -4.43 -10.0 6.87 -14.92 -2.40 33.6 -30.03 20.0 27.14 0.91 -0.73










Table A-4 continued.
X (cm) Y (cm) Z (cm) U (cm/s) IV (cm/s) W (cm/s)JIX (cm) IY (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s)
-7.7 -4.43 -11.0 5.44 -15.21 -0.96 33.6 -30.03 15.0 26.32 1.14 -0.76
-7.7 -4.43 -12.0 6.11 -9.90 0.97 33.6 -30.03 10.0 23.68 0.84 -0.55
-7.7 -4.43 -12.7 7.46 -6.75 2.19 33.6 -30.03 7.5 20.00 0.55 -0.36
-29.2 -50.63 24.0 26.65 -0.60 0.74 33.6 -30.03 5.0 17.60 -0.09 -0.29
-29.2 -50.63 20.0 25.07 -0.67 0.63 33.6 -30.03 4.0 17.20 -0.35 -0.22
-29.2 -50.63 15.0 24.96 -0.72 0.46 33.6 -30.03 3.0 15.36 -0.40 0.04
-29.2 -50.63 10.0 22.83 -0.45 0.11 33.6 -30.03 2.6 15.44 -0.21 0.27
-29.2 -50.63 7.5 19.89 -0.51 0.12 33.6 -23.03 24.0 29.59 0.93 -1.20
-29.2 -50.63 5.0 18.84 -0.35 -0.27 33.6 -23.03 20.0 29.85 1.42 -1.20
-29.2 -50.63 4.0 16.84 -0.12 -0.54 33.6 -23.03 15.0 28.06 1.99 -0.64
-29.2 -50.63 3.0 15.17 -0.17 -0.58 33.6 -23.03 10.0 24.81 1.94 -0.39
-29.2 -50.63 2.0 10.35 -1.23 -1.25 33.6 -23.03 7.5 20.69 1.51 0.01
-21.7 -37.63 24.0 27.02 -0.79 0.74 33.6 -23.03 5.0 17.59 -0.39 -0.20
-21.7 -37.63 20.0 26.53 -1.03 0.75 33.6 -23.03 4.0 17.03 -1.19 0.04
-21.7 -37.63 15.0 25.07 -0.92 0.37 33.6 -23.03 3.0 16.28 -1.64 0.15
-21.7 -37.63 10.0 22.26 -0.78 0.28 33.6 -23.03 2.4 15.60 -1.40 0.16
-21.7 -37.63 7.5 20.66 -0.72 -0.06 33.6 -18.03 24.0 29.62 1.54 -1.92
-21.7 -37.63 5.0 17.22 -0.42 -0.25 33.6 -18.03 20.0 28.96 2.11 -1.26
-21.7 -37.63 4.0 16.49 -0.23 -0.48 33.6 -18.03 15.0 28.48 2.24 -1.05
-21.7 -37.63 3.0 14.50 -0.11 -0.34 33.6 -18.03 10.0 25.82 2.71 -1.03
-21.7 -37.63 2.5 12.61 -1.74 0.06 33.6 -18.03 7.5 23.71 2.46 -0.60
-16.7 -28.93 24.0 26.57 -1.83 1.09 33.6 -18.03 5.0 22.24 0.77 -0.18
-16.7 -28.93 20.0 25.40 -1.70 0.76 33.6 -18.03 4.0 21.41 0.07 0.27
-16.7 -28.93 15.0 25.11 -1.66 0.33 33.6 -18.03 3.0 20.35 -0.73 0.83
-16.7 -28.93 10.0 22.46 -1.39 -0.22 33.6 -18.03 2.3 19.41 -1.49 0.78
-16.7 -28.93 7.5 20.13 -1.33 -0.51 33.6 -15.03 24.0 28.25 2.16 -1.46
-16.7 -28.93 5.0 18.47 -1.09 -0.88 33.6 -15.03 20.0 27.60 2.52 -1.60
-16.7 -28.93 4.0 17.30 -0.91 -0.97 33.6 -15.03 15.0 28.06 2.60 -1.33
-16.7 -28.93 3.0 15.02 -0.94 -0.86 33.6 -15.03 10.0 25.90 3.15 -0.94
-16.7 -28.93 2.0 9.48 -4.47 0.22 33.6 -15.03 7.5 25.07 2.76 -0.48
-14.2 -24.63 24.0 26.77 -2.25 1.22 33.6 -15.03 5.0 22.85 1.59 0.08
-14.2 -24.63 20.0 26.28 -2.25 0.84 33.6 -15.03 4.0 21.69 0.79 0.26
-14.2 -24.63 15.0 25.23 -2.09 0.38 33.6 -15.03 3.0 20.69 -0.14 0.66
-14.2 -24.63 10.0 22.78 -1.80 -0.15 33.6 -15.03 2.0 20.99 -0.53 1.07
-14.2 -24.63 7.5 21.40 -1.64 -0.52 33.6 -15.03 1.7 20.46 -1.06 1.52
-14.2 -24.63 5.0 18.76 -1.64 -0.99 33.6 -12.03 24.0 23.48 2.42 0.10
-14.2 -24.63 4.0 17.61 -1.51 -1.21 33.6 -12.03 20.0 23.96 2.78 -0.42
-14.2 -24.63 3.0 16.53 -1.42 -1.32 33.6 -12.03 15.0 25.25 3.30 -0.91
-14.2 -24.63 2.0 14.06 -1.62 -1.21 33.6 -12.03 10.0 25.03 3.18 -0.73
-14.2 -24.63 1.0 11.97 -2.80 -0.47 33.6 -12.03 7.5 24.90 3.93 -0.33
-14.2 -24.63 0.0 9.11 -4.14 1.34 33.6 -12.03 5.0 22.38 2.50 0.35
-14.2 -24.63 -0.4 4.60 -2.82 0.58 33.6 -12.03 4.0 21.13 1.66 0.86
-11.7 -20.33 24.0 26.29 -3.27 1.64 33.6 -12.03 3.0 21.40 1.53 1.15
-11.7 -20.33 20.0 26.29 -3.12 1.02 33.6 -12.03 2.0 20.79 0.28 1.64
-11.7 -20.33 15.0 25.06 -2.86 0.36 33.6 -12.03 1.4 19.82 -0.12 1.83
-11.7 -20.33 10.0 22.89 -2.32 -0.22 33.6 -9.03 24.0 16.41 1.56 0.68


1










Table A-4 continued.
X (cm) Y (cm)lZ (cm) U (cm/s) V (cm/s) W (cm/s) X (cm) Y (cm) Z (cm) U (cm/s) V (cm/s) W (cm/s)
-11.7 -20.33 7.5 20.49 -2.36 -0.38 33.6 -9.03 20.0 19.65 2.11 0.91
-11.7 -20.33 5.0 16.81 -1.83 -0.32 33.6 -9.03 15.0 22.42 4.03 1.00
-11.7 -20.33 4.0 15.89 -1.83 -0.26 33.6 -9.03 10.0 23.20 4.27 0.92
-11.7 -20.33 3.0 14.25 -1.53 -0.40 33.6 -9.03 7.5 24.42 4.96 1.02
-11.7 -20.33 2.0 13.26 -1.61 -0.35 33.6 -9.03 5.0 22.24 3.50 2.01
-11.7 -20.33 1.0 12.47 -1.23 -0.12 33.6 -9.03 4.0 21.83 3.08 1.94
-11.7 -20.33 0.0 10.77 -1.61 0.36 33.6 -9.03 3.0 22.14 2.47 2.21
-11.7 -20.33 -1.0 8.70 -2.26 0.62 33.6 -9.03 2.0 22.05 1.92 2.78
-11.7 -20.33 -2.0 7.39 -2.83 1.07 33.6 -9.03 1.0 20.44 -0.23 3.17
-11.7 -20.33 -3.0 4.34 -2.44 1.37 33.6 -6.03 24.0 15.55 3.40 3.31
-11.7 -20.33 -3.7 3.03 -1.45 0.91 33.6 -6.03 20.0 17.21 0.81 3.83
-9.2 -15.93 24.0 25.88 -4.55 2.13 33.6 -6.03 15.0 18.79 -0.03 3.27
-9.2 -15.93 20.0 26.07 -4.63 1.55 33.6 -6.03 10.0 21.18 3.59 2.55
-9.2 -15.93 15.0 25.36 -4.39 0.68 33.6 -6.03 7.5 22.00 4.59 2.37
-9.2 -15.93 10.0 23.65 -4.16 -0.41 33.6 -6.03 5.0 21.62 4.18 2.69
-9.2 -15.93 7.5 21.29 -3.65 -0.76 33.6 -6.03 4.0 21.97 4.20 3.00
-9.2 -15.93 5.0 17.21 -2.82 -0.91 33.6 -6.03 3.0 20.94 3.00 3.71
-9.2 -15.93 4.0 16.80 -2.73 -1.09 33.6 -6.03 2.0 20.39 1.92 3.96
-9.2 -15.93 3.0 15.53 -2.46 -1.10 33.6 -6.03 1.0 19.01 1.36 4.69
-9.2 -15.93 2.0 14.70 -2.46 -1.00 33.6 -3.03 24.0 12.33 0.71 6.20
-9.2 -15.93 1.0 12.75 -2.02 -0.91 33.6 -3.03 20.0 15.26 -0.91 6.22
-9.2 -15.93 0.0 11.93 -1.57 -0.85 33.6 -3.03 15.0 18.15 -1.16 6.45
-9.2 -15.93 -1.0 10.68 -1.31 -0.76 33.6 -3.03 10.0 19.55 1.94 4.70
-9.2 -15.93 -2.0 9.43 -0.98 -0.90 33.6 -3.03 7.5 20.50 4.15 4.35
-9.2 -15.93 -3.0 8.92 -1.40 0.07 33.6 -3.03 5.0 20.83 4.47 4.02
-9.2 -15.93 -4.0 7.08 -2.50 1.64 33.6 -3.03 4.0 20.94 4.84 3.74
-9.2 -15.93 -5.0 5.44 -3.53 4.43 33.6 -3.03 3.0 20.75 4.20 4.39
-9.2 -15.93 -6.0 3.80 -3.66 5.87 33.6 -3.03 2.0 19.77 2.93 4.65
-9.2 -15.93 -7.0 1.41 -0.84 2.22 33.6 -3.03 1.0 19.37 1.72 5.31
-7.9 -13.83 24.0 28.40 -5.41 2.55 33.6 -3.03 0.3 18.96 1.52 5.54
-7.9 -13.83 20.0 27.97 -5.58 1.95 33.6 -0.03 24.0 12.30 1.61 5.42
-7.9 -13.83 15.0 26.71 -5.06 0.98 33.6 -0.03 20.0 14.95 -3.00 8.15
-7.9 -13.83 10.0 24.37 -4.80 -0.13 33.6 -0.03 15.0 18.15 -2.61 7.06
-7.9 -13.83 7.5 22.52 -4.60 -0.86 33.6 -0.03 10.0 19.82 0.18 6.31
-7.9 -13.83 5.0 20.66 -3.89 -1.29 33.6 -0.03 7.5 20.24 2.65 5.89
-7.9 -13.83 4.0 19.87 -3.97 -1.47 33.6 -0.03 5.0 20.75 3.26 5.46
-7.9 -13.83 3.0 18.62 -3.80 -1.71 33.6 -0.03 4.0 20.72 4.49 5.07
-7.9 -13.83 2.0 17.44 -3.66 -1.81 33.6 -0.03 3.0 20.21 3.43 4.85
-7.9 -13.83 1.0 15.32 -2.97 -1.87 33.6 -0.03 2.0 19.61 3.38 4.78
-7.9 -13.83 0.0 14.51 -3.27 -2.13 33.6 -0.03 1.0 20.14 2.63 5.55
-7.9 -13.83 -1.0 13.28 -2.70 -2.24 33.6 -0.03 0.0 19.66 1.75 6.12
-7.9 -13.83 -2.0 11.99 -2.68 -2.61 33.6 -0.03 -0.3 19.28 1.52 6.66


-7.9 -13.831 -3.0


III


10.94


-2.97


-2.56









APPENDIX B

PROGRAMS USED IN REDUCTION OF DATA



Program B-1: dataredu.m M-file used in reduction of data produced by the Sontek ADV.

Program B-2: compare.for Fortran program used to interpolate data from numerical

simulations to the measurement points in the physical experiments.










Program B-l dataredu.m


%DATAREDU.M This mfile will reduce the data taken using the sontek acoustic velocimeter.
%Many of the variables required for this reduction are listed in the file sumvar.dat that
%is contained in each of the subdirectories listed below. For a listing of the organization
%of this file see the text document TEMPLATE.TXT listed at the end of this program listing.
%The mfile GETANG.M is used in this program and is also listed at the end of this program.


clear variables;
path(path,'c:\sontek');


k=menu('Choose a case:','Flatbed','Scour at t = tl','Scour at t = t2','Equilibrium Scour');
ifk== 1,
eval(['cd flatbed']);
end
ifk ==2,
eval(['cd tl']);
end
ifk == 3,
eval(['cd t2']);
end
ifk== 4,
eval(['cd ultscour']);
end


%/add getang to path


fid0=fopen('sumvar.dat');
p=str2num(fgetl(fido));
xzv0=str2num(fgetl(fid0));
yzvO=str2num(fgetl(fid0));
shiftilt(1)=str2num(fgetl(fid0));
shiftilt(2)=str2num(fgetl(fid0));
shiftilt(3)=str2num(fgetl(fid0));
shiftref(1)=str2num(fgetl(fid0));
shiftref(2)=str2num(fgetl(fid0));
shiftref(3)=str2num(fgetl(fid0));

ftot = 0
for dirnum = 1:p,
linefile=fgetl(fid0);
day = linefile(1:2);
fl = 1;
f2 = str2num(linefile(4:6));
q = str2num(linefile(8: 10));
flt=str2num(linefile(12:14));
f2t=str2num(linefile(16:18));
xzvol=str2num(linefile(20:24));
yzvol=str2num(linefile(26:30));
eval(['cd' day]);


%the number of test subdirectories (days)
%base voltage in vertical position (green wire)
%base voltage in vertical position (white wire)
%X position change vetor due to probe tilt
%Y position change vetor due to probe tilt
%/Z position change vetor due to probe tilt
%X zero reference to center of cylinder
%Y zero reference to center of cylinder
%/Z zero reference to center of cylinder

%total files for given test configuration (running variable)


%test subdirectory by day
%the first file number in the subdirectory
%the final file number in the subdirectory
%missing file number
%start file number for tilted position
%end file number for tilted position
%green wire voltage for tilted position
%white wire voltage for tilted position


for i= fl:f2;
ftot = ftot + 1;
ifi == q,
outfile(ftot,1) = dirnum;










%outfile will contain the summary of the data from all the reduction
outfile(ftot,2) = i
elseifi -= q, %filename contains the name of the active file

ifi < 10,
filename = [ day '00' num2str(i) ];
elseifi >= 10,
ifi < 100,
filename = [ day '0' num2str(i) ];
elseifi >= 100,
filename = [ day num2str(i) ];


eval(['!..\..\getctl' filename]);
eval(['!..\..\getvel' filename]);
eval(['load filename '.vel']);
infile=eval(filename);
eval(['!del' filename '.vel']);
eval(['clear filename]);


%ctl file manipulation


ctlfile=[filename '.ctl'];
fid=fopen(ctlfile);
forj=1:4,
dum=fgetl(fid);
end
linex=fgetl(fid);
liney=fgetl(fid);
linez=fgetl(fid);
nx=length(linex);
ny=length(liney);
nz=length(linez);
x=str2num(linex(16:nx));
y=str2num(liney(18:ny));
z=str2num(linez(18:nz));
forj=l:19,
dum=fgetl(fid);
end
linezbot=fgetl(fid);
if linezbot(l 1) == 'N',
zpt=999;
zsv=999;


%ctlfile is the name of the .ctl file
%that is generated by the adf software










%x position from sontek input
%y position from sontek input
%z position from sontek input





%zpt is distance from probe tip to bottom
%zsv is distance from sample volume to bottom


zpt=str2num(linezbot(15:19));
%zpt and zsv are given a value of 999 if
zsv=str2num(linezbot(36:40));
%the bottom is 'N'ot found.
end
fclose(fid);
eval(['!del' filename '.ctl']);











m=length(infile(:, 1));
pos=[xy z];


% (x,y,z) position vector


%Probe rotation Section
%Probe rotation Section


if xzvol~- 99999,
xzt0=-getang(1,xzvol,xzv0); %xzt0 and yztO are the angles that the probe is
yzt0=-getang(2,yzvol,yzv0); %rotated as determined by the mfile getang.m
xzt0=xzt0*2*pi/360;
yzt0=yzt0*2*pi/360;
Rx = [1 0 0; 0 cos(yzt0) sin(yzt0); 0 -sin(yzt0) cos(yzt0) ];
%Rx = rotation matrix in xz plane
Ry = [cos(xzt0) 0 -sin(xztO); 0 1 0; sin(xzt0) 0 cos(xzt0) ];
%Ry = rotation matrix in yz plane
A = Rx*Ry;
%Rotation matrix from tilted to absolute coordinates


%Reference for these calculations is Mathematical Methods for Physicists by Arfken 1970, pgs 178-79


if i >= fit,
if i <= f2t,
forj = l:m,
Vt=[infile(j,4) infile(j,5) infile(j,6)];
%Velocity matrix in tilted coordinates
V= A*Vt';
%Velocity matrix corrected for rotation
infile(j,4)=V(1);
infile(j,5)=V(2);
infile(j,6)=V(3);
end
pos = pos + shiftilt;
%correct position for tilt


end
%Calculation of output section
%Calculation of output section


pos = pos + shiftref;
pos(3) = -(pos(3));
pos(l) = pos(l)*100;
pos(3) = pos(3)/10;
u=infile(:,4);
v=infile(:,5);
w=infile(:,6);


%Reference position vector to center of cylinder
%and convert all units to cgs


% In this section, the data is filtered first to eliminate the single point spikes that
% tend to occur in sontek data and secondly to remove the low frequency (below 0.2 Hz)
% oscillation that is found in the flume. The spikes are removed by finding all excursions
% that are more than 3 standard deviations from the previous data point and setting them equal
% to the mean of the bracketing points. The low frequency oscillation is removed by taking the
% fourier transform of the time series and setting equal to zero all the points that are
% below the 0.2 Hz cutoff. Then the ifft is taken to recover the time series.










su=std(u);
sv=std(v);
sw=std(w);

ut(l)=u(1);
ut(m)=u(m);
vt(l)=v(l);
vt(m)=v(m);
wt(1)=w(1);
wt(m)=w(m);
for k=2:m-1,
ut(k)=u(k);
dul=abs(u(k)-ut(k-1));
du2=abs(u(k+1)-ut(k-1));
ifdul > 3*su,
if dul > 2*du2,
ut(k)=0.5*(u(k+l)+ut(k-1));
end
end

vt(k)=v(k);
dvl=abs(v(k)-vt(k-1));
dv2=abs(v(k+l)-vt(k-1));
ifdvl > 3*sv,
ifdvl > 2*dv2,
vt(k)=0.5*(v(k+l)+vt(k-1));
end
end

wt(k)=w(k);
dwl=abs(w(k)-wt(k-1));
dw2=abs(w(k+l)-wt(k-1));
if dwl > 3*sw,
if dwl > 2*dw2,
wt(k)=0.5*(w(k+l)+wt(k-1));
end
end
end

a=ceil(0.2*infile(m, 1));
b=m-a;
fu=fft(ut);
fu(2:a)=zeros(size(2:a));
fu(b:m)=zeros(size(b:m));
u=real(ifft(fu));
fv=fft(vt);
fv(2:a)=zeros(size(2:a));
fv(b:m)=zeros(size(b:m));
v=real(ifft(fv));
fw=fft(wt);
fw(2:a)=zeros(size(2:a));
fw(b:m)=zeros(size(b:m));
w=real(ifft(fw));










%
% Calculation of flow statistics
%
um = mean(u);
vm = mean(v);
wm = mean(w);
up=u um;
vp=v vm;
wp=w wm;
upupm = mean(up.*up);
vpvpm = mean(vp.*vp);
wpwpm = mean(wp.*wp);
upvpm = mean(up.*vp);
upwpm = mean(up.*wp);
vpwpm = mean(vp.*wp);
s = [upupm upvpm upwpm; upvpm vpvpm vpwpm; upwpm vpwpm wpwpm];
d = det(s);

outfile(ftot, 1) = dirnum;
outfile(ftot,2) = i;
[dirnum,i]
outfile(ftot,3) = infile(m,1);
outfile(ftot,4) = um;
outfile(ftot,5) = vm;
outfile(ftot,6) = wm;
outfile(ftot,7) = pos(l);
outfile(ftot,8) = pos(2);
outfile(ftot,9) = pos(3);
outfile(ftot,10) = zpt;
outfile(ftot, 11)= zsv;
outfile(ftot, 12) = upupm;
outfile(ftot, 13) = vpvpm;
outfile(ftot,14) = wpwpm;
outfile(ftot,15) = upvpm;
outfile(ftot,16) = upwpm;
outfile(ftot, 17) = vpwpm;
outfile(ftot, 18)= d;
end
end
eval(['cd..']);
end
save totalout.dat outfile -ascii
fclose(fid0)
eval(['cd ..']);










function theta=getang(xy,vin,v0)


%GETANG.M This Mfile calculates the angle that the inclinometer is tilted
%from the given voltages. The functions are a best fit 5th order polynomial
%that was supplied by the manufacturer: APPLIED GEOMECHANICS INC.


a(l)=0; %The inputs to this function are:
b(1)=41.7924; %xy a flag indicating rotation in the XZ or YZ plane
c(1)=-0.6146; %vin the voltage from the inclinometer in for the desired component
d(1)=-5.7194; %v0 the voltage from the inclinometer in the vertical position
e(1)=0.0329;
f(1)=0.6567;

a(2)=0;
b(2)=41.7886;
c(2)=-1.5157;
d(2)=-5.7329;
e(2)=0.2582;
f(2)=0.6636;

thet0=a(xy) + b(xy)*v0 + c(xy)*v0^2 + d(xy)*vO^3 + e(xy)*v0O4 + f(xy)*v0^5;
thetin=a(xy) + b(xy)*vin + c(xy)*vin^2 + d(xy)*vinA3 + e(xy)*vinA4 + f(xy)*vin^5;
theta = thetin thet0;



TEMPLATE.TXT: Data found in sumvar.dat has the following organization:

p the number of test subdirectories (days)
xzvO base voltage in vertical position (green wire)
yzvO base voltage in vertical position (white wire)
shiftilt(1) X position change vetor due to probe tilt
shiftilt(2) Y position change vetor due to probe tilt
shiftilt(3) Z position change vetor due to probe tilt
shiftref(l) X zero reference to center of cylinder
shiftref(2) Y zero reference to center of cylinder
shiftref(3) Z zero reference to center of cylinder
day f2 q fit f2t xzvol yzvol

where
day = test subdirectory by day (e.g. fO, bl etc.)
f2 = the final file number in the subdirectory
q = missing file number
fit = start file number for tilted position
f2t = end file number for tilted position
xzvol = green wire voltage for tilted position
yzvol = white wire voltage for tilted position

Note, if xzvol and yzvol = 99999 then probe is in vertical position for all runs on this day.
File naming convention:
e.g. a1095.adv
First two characters (al) correspond to the day (for specific days of tests reference lab
notebook). Next three numbers (095) correspond to the test number on that day.











Program B-2 compare.for


* *
* Program compare.for *
* *
* This program reads both the output files created by the M-file *
* dataredu.m and the Ascii output from the software FLOW3D. It *
* then uses a three dimensional interpolation scheme to determine *
* the velocity predicted by the flow solver at the same point *
* where the measurement was made during the physical experiments. *
* The interpolation scheme is a subroutine located in the IMSL *
* libraries. *
* *
* Input Files: flowinfo.dat (from FLOW3D) *
* totout.dat (from dataredu.m) *
* Output Files: compare.dat *
* *
* Written by Mark Gosselin (1/10/96) *
* *
* Last Modified: 5/20/97 *
* *



program compare

use msimslms

real xc,yc,zc,uc,vc,wc,fc,xchalf,ychalf,zchalf,sontek
real xs,ys,zs,us,vs,ws,uinterp,vinterp,winterp
real velcmag,velsmag,vmagerr,vdirerr,vdot
integer ic,jc,kc,nic,njc,nkc,is,nisjs
character*98 dumchar
dimension xc(60),yc(60),zc(60),uc(60,60,60),vc(60,60,60)
dimension wc(60,60,60),fc(60,60,60),xchalf(60),ychalf(60)
dimension zchalf(60),sontek(1500,18)
logical check

*
* Data Input Section
*
open(1,file='flowinfo.dat')
rewind(l)

read(l,*) dumchar
10 if (.not.eof(1)) then
read(1,*)icjc,kc,xc(ic),yc(jc),zc(kc),uc(ic,jc,kc),
& vc(ic,jc,kc),wc(ic,jc,kc),fc(ic,jc,kc)
print *,icjc,kc
goto 10
endif
close(l)











nic=ic
njc=jc
nkc=kc
*
* Note-the flow velocities determined by FLOW3D are located at the
* center of the corresponding cell faces.
*
do 20 ic=2,nic
xchalf(ic-1)=(xc(ic)+xc(ic-1))/2.
20 continue
do 30 jc=2,njc
ychalf(jc-1)=(yc(jc)+yc(jc-1))/2.
30 continue
do 40 kc=2,nkc
zchalf(kc-1)=(zc(kc)+zc(kc-1))/2.
40 continue

open(2,file='totalout.dat')
rewind(2)

is=0
50 if(.not.eof(2)) then
read(2,*) (sontek(isjs)js=1,18)
is=is+l
goto 50
endif
close(2)

nis = is 1
check = .true.

*
* Interpolation of Data
*
open(3,file='compare.dat',status='unknown')
rewind(3)
do 100 is = 1,nis
xs = sontek(is,7)
ys = sontek(is,8)
zs = sontek(is,9)
us = sontek(is,4)
vs = sontek(is,5)
ws = sontek(is,6)
xs = -xs
ys = -ys
us = -us
vs = -vs

print *,'is = ',is
if((xs.eq.0.0).and.(ys.eq.0.0).and.(zs.eq.0.0).and.
& (us.eq.0.0).and.(vs.eq.0.0).and.(ws.eq.0.0)) then
uinterp = 0.0
vinterp = 0.0
winter = 0.0










vmagerr = 0.0
vdirerr = 0.0
goto 90
endif

uinterp = QD3VL(xs,ys,zs,nic,xc,njc-l,ychalf,nkc-l,zchalf,
& uc(1:nic,2:njc,2:nkc),nic,njc-l,check)
vinterp = QD3VL(xs,ys,zs,nic-l,xchalf,njc,yc,nkc-l,zchalf,
& vc(2:nic,1:njc,2:nkc),nic-l,njc,check)
winter = QD3VL(xs,ys,zs,nic-l,xchalf,njc-l,ychalf,nkc,zc,
& wc(2:nic,2:njc, 1 :nkc),nic-l,njc-l,check)
velcmag = (uinterp**2. + vinterp**2. + winterp**2.)**0.5
velsmag = (us**2. + vs**2. + ws**2.)**0.5
vmagerr = abs((velcmag velsmag)/velsmag)* 100.
vdot=us*uinterp + vs*vinterp + ws*winterp
if ((velcmag*velsmag).lt.0.01) then
vdirerr = 999.0
endif
if ((velcmag*velsmag).ge.0.01) then
vdirerr = acos(vdot/(velcmag*velsmag))
endif
90 write(3,1004) xs,ys,zs,us,vs,ws,uinterp,vinterp,winterp,
& vmagerr,vdirerr
100 continue
*
* Note the error between the measured and predicted velocities
* is represented by the error in magnitude (vmagerr) and in
* direction (vdirerr).
*
1000 format(a98)
1001 format(3i2,7e7.5)
1002 format(1lal4)
1004 format(1lel4.6)
end









APPENDIX C

PLOTS OF ERROR BETWEEN MEASURED AND PREDICTED VELOCITY

VECTORS




Figures C-1: Plots of error between measured and predicted values for the T = 0 hours,

initial flat bed condition.

Figures C-2: Plots of error between measured and predicted values for the T = 1 hour

scour hole.

Figures C-3: Plots of error between measured and predicted values for the T = 6 hours

scour hole.

Figures C-4: Plots of error between measured and predicted values for the T = 24 hours

scour hole.













Figures C-l Plots of error between measured and predicted values for the T = 0 hours,


initial flat bed condition.


T- 0 Hours, 0 Degrees
Cll;-n .-. v-.l.V __._.... rpr----,







i0 -10




-J -5

_'o -nil

-50 10 1 2 5 5-- ,5
X Poston (cm)


T = 0 Hours, D Degrees
... ei > \/ ci .L.eC.cr.>. ra^.=.g <:t)


ic 3


T= 0 Hours, 0 Degrees


15 20
X Position (crn)


25 30 35













Figures C-1 Plots of error between measured and predicted values for the T = 0 hours,


initial flat bed condition.


T 0 Hours, 0 Degrees
Cl.r r.r,. ir. v,: r M.I ,,,u. jc Er Ln li


30


. -{t o Io

.- .- "'-.-- o i

--'" L__ ____. N


T = 0 Hours, 0 Degrees
,'.? il.r Arj :l,.,r, i. i.]irn1 i


*0 '\
S


-Qb
-." 0


-Io()XPsoncm
i 'xi I :I. 00 4! .3 1 I : Z''
X Position (cm) X Posilion (cm)


:o :) '0


T = 0 Hours, 0 Degrees

Vectors and Contours


Largest vector = 14.6cmis


5 10


15 20
X Position (cm)


E
Y 15
S
a
X
N


I


,, ,


















T 0 Hours, 45 Degrees









6 C I F.1 3 r

a -. ---
u2-


H H- A- N


Radial Posin (cm)
Radial Position (cm)


; HA 0


T 0 Hours, 45 Degrees
-: .. ,,:ri.r i'rd.l. :r. ,l.Ih' 1 jli





1"'


HHH


Radial Position (cm)


T = 0 Hours, 45 Degrees


Vectors and Contours


Largest vector = 12.49cm/s


10 15
Radial Position (cm)





72


lfli-





-I"z














T = 0 Hours, 90 Degrees
1,.i ,...-,:, .-, V .:l,:,. |.1l ,-.-lui 6 l lle. :.' i


T = 0 Hours, 90 Degrees



I


y1I
I 13r 1,
S


IN
'& '


Y Position (cm)


Y Pos on (cm)
Y Poshion (cm)


T = 0 Hours, 90 Degrees

IDifference Vectors and Contours


Largest vector = 6.806cm/s


-15
0 5 10


15 20
Y Position (cm)


25 30 35 40


o.

N
N


C

11.1


. 'e.


N\ N N _-5 -\














T = 0 Hours, Y=1.845
L.ncler- I.r. va:ljr Lr:I.ri I5n-3riir


---_ --C N
'--~=~-"a


-I,


0 IPos I.itn
X Position (cm)


i4gI;"i P!


X Position (cm)


T = 0 Hours, Y=1.845

Difference Vectors and Contours


0 0






1A"N'


0


-5



-10

Largest vector = 11.76cmis
-15
0 5 10 15 20
X Position (cm)


T 0 Hours, Y-1.845
r V .:.r ,1ki r,,lu,3- i r ,: .r ll

1 0
F'


30


C- c 5
















T 0 Hours, Y=4.345
Enu Ir .-a. v.. : j:1 l IF.i ]r.Iudw ,c. :C a ll


.2 E
r i
I. I,
rt


"X Position (cm
X Position (cm


T = 0 Hours, Y=4.345
i: n V :..:r L'i. 'or, *a- I e- i


X.- |


I) "X Posilion (cm)
X Position (cm)


T = 0 Hours, Y=4.345

Difference Vectors and Contours


3
\s. t s '5




2 -1








-2 f2
1' T r



/^ ^ f T^/ r.


0~


Largest vector = 12.33cmis

0 5 10 15 20 ;

X Position (cm)


.) 5


15



i 10
0



N

0



-5



-10


I


'


A = 0 H


/













T = 0 Hours, Y=7.345
,n r. .:., r, V .:lt:r MI P .iur,,u .1 C.J .:- ri, i





. .. t,






X-1 Po -(cm
S---oo (




"i-I'
X Poslion (cm)


T = 0 Hours, Y-7.345
i.n.e.-.:.ai. Vor l.: OUr i.

\ii


I t 1
'5T -'=L '~- __^


0


X Position (cm)
X Position (cm)


T = 0 Hours, Y=7.345

Difference Vectors and Contours


5
-6

0

-2
o 5
-~ -2
5 ) 'T' T
-4

0



5

'0
AL fT
,- } 7^n' ^* Tf/* *r r f \ ^ -


Largest vector = 17.6cm/s


X Position (cm)


-5


-10


'i














T= 0 Hours, X=-b
30
Difference in Vector Magnitude (percent)


|LL 39 N

I I
" ll '",' 3..
'- 11 .'- ,N -i.


4-- .,


Y Position (cm)


T =0 Hours, X =-b
Difference in Vector Direction (degrees)


111*, J.. ,,,' -

(ll l l ,,_,_ .;.'


Y Position (cm)


T = 0 Hours, X = -b

Difference Vectors and Contours


- .5


)W- 5


Largest vector = 8.665cm/s


10 15
Y Position (cm)


5


.0


-10



-15
-


I














T =0 Hours. X -2b


3Difference in Vector Magnitude (percent)
60 50




0
10 40 4
40 10

if N
lit --^/ --- /fj \ j i3


T-0 Hours, X-2b
30- Difference in Vector Direction (degrees)


'If0 f i!/ J1 )- '


:;0 :


Y Position (cm)


T = 0 Hours, X = -2b

Difference Vectors and Contours


-7.5


Largest vector = 9.284cmis


5


10 15
Y Position (cm)







78


Y Position (cm)


-10



-15
-


!












Figures C-2 Plots of error between measured and predicted values for the T = 1 hour


scour hole.


T -1 Hours, 0 Degrees









iO 're,:e.ve:' M- ----=T- --
r4-)



1_.'


Radial Position (cm)


T = 1 Hours, 0 Degrees
i',."el.r.: ..n Ve..:.r iLrs.r :li.:,r. | j']iei |



lll I



11'," I -
i"! -I =



12' ~ ~ 1 ,-,l , --15


'*, At


",. A5 4 5


. Radia Position (cm)
Radial Position (cm)


T = 1 Hours, 0 Degrees


Difference Vectors and Contours












2.5 0








C \ I


-10

Largest vector = 14.67cmis

-150 5 10 15 20 25 30 35 40 45
Radial Position (cm)



79


-5


..lt -
,,












T I1 Hours, 30 Degrees
30 ,0, c r p. . I; a





I



Si
,---- -------,





. -- ..--t-------


-I 1 i Rj IS il P i (cm ) I 4
Radial Posilion (cm)


0



-5



-10



-15-
0


3n


-l0

'3I:


T 1 Hours, 30 Degrees
JJrleo ~':e I, ve. i tji ,' :.'d ,,,J I ,e) sll









I Rai L.-, (








S 1 1 40 45
Radial Posil-on (cm)
Radial Posilion (cm)


T = 1 Hours, 30 Degrees

Difference Vectors and Contours


Largest vector = 10.14cm/s


5 10 15 20 25
Radial Position (cm)


30 35 40 45














T 1 Hours, 60 Degrees
L.1l'.iO B .-.I I,^.4:!.: I y-.! .n :L'.T|'


-' I



- o ., : -. ----
---,,,-
jt -


Radial Position (cm)
Radial Position (cm)


0I I,


T = 1 Hours, 60 Degrees
0l.-.l ai.'r vs '..::r C'.. ...: IJ,,j r -i i


i I i


15 Ra0 Potion
Radial Position (cm)


T = 1 Hours, 60 Degrees

Difference Vectors and Contours







-10










r 0
0
Ft./~ -
'Si


* -5


Largest vector = 14.72cm/s
J


5 10 15 20 25
Radial Position (cm)


30 35 40 45


I C'


". I l0 45


-10



-15
0


-5


6



I- -.
-,0 -------




















T 1 Hours, 90 Degrees
l.n...,r..: e I- v 1 ]..l.jI..des Ii,C.,e .II


30


-- --99


T- 1 Hours, 90 Degrees
i,.n.e'ir.:ea ,-. Veci.: Di.e'..-,.. (a,.eesi


"'I I -


Radial, Posiion (cm) Radial P-Iiti
R0 d il Ps i:1 1() Ri ~0 '0 '1 -l? Pos (4 l) 5
Radial Posiion (cm) Radial Posilion (cm)


T = 1 Hours, 90 Degrees

Difference Vectors and Contours


se.. *-. 4- 4-


.r .- e0-


4- 4-
4- 4


Largest vector = 6.454cm/s


5 10 15 20 25
Radial Position (cm)


30 35 40 45


E
a 10
-
0

0 5

N

0



-5



-10



-15


n
?


~


















T= Hours,X.-b
Difference in Vector Magnitude percentl)


N
N


Y Position (cm)


T 1 Hours, X = -b
Difference in Vector Direction (degrees)


Y Position (cm)


T = 1 Hours, X = -b

Difference Vectors and Contours


1%


-5


Largest vector = 12.6cmis

5 10 15
Y Position (cm)


-10



-15
-5



















T -1 Hours, X 2b
Difference in Vector Magnitude (percent)


S10
o


S 40 30 N
' V^ +--


T-1 Hours. X--2b
Difference in Vector Direction (degrees)


L- 5 ',0


Y Position (cm)


T = 1 Hours, X = -2b

Difference Vectors and Contours


- 4- 4- -
4- 4- 4-
4- 4- 4-.
ft


Largest vector = 7.205cmis


10 15
Y Position (cm)




84


- IJ


Y Position (cm)


-10



-151
-5














Figures C-3 Plots of error between measured and predicted values for the T = 6 hours



scour hole.


T 6 Hours, 0 Degr
30 "i'n-a ce.r ,n ,.1,a3jr iruludh IE


Su~


Radia Position (
Radial Posltion (cn


ees T= 6 Hours, 0 Degrees
,,.. ,-,11 L""r'3'Br.:e hr, Cm r. u' O. n 0 e. I sle. ,e5e $
2 0 i &i i









01 0

I 5







:., 2 40 4! "0 A H i 0: ;5 4i ii r 15


n)


Radial Position (cm)


T = 6 Hours, 0 Degrees


0 5 10 15 20 25
Radial Position (cm)


30 35 40 45


LC


r











T = 6 Hours, 30 Degrees
30



0'


5I
i"* r---- *


.:,."


Radial Position (cm)


T 6 Hours, 30 Degees
C'.n re.-.:B r. V :l:r Dre:T.,:r. N s .3 -e I


A-


Radial Position (cm)


T = 6 Hours, 30 Degrees

Difference Vectors and Contours


NT t


Largest vector = 14.89cm/s
-15
0 5 10 15 20 25
Radial Position (cm)


30 35 40 45


30 ...........


-10












T = 6 Hours, 60 Degrees T Hours, 60 Degrees
1n D'"d'dr,>:e ,-, Ve:1:. L1!..}.iunned h:' :i'.ll uLC),.Ttr, r..-., ,r, \,.:I.:r L.re.:I,:,r 1 r e. r6 I
-in


I ( ,4" :, ,
"** I R i r

I1

" ,, I ,
a It (.- I d P


T = 6 Hours, 60 Degrees

Difference Vectors and Contours


t %


Largest vector = 27.9cm/s

0 5 10 15 20 25
Radial Position (cm)


30 35 40 45


.5










L-2.5


E
- 10
0

0 5
N

0


-5


-10


: I
















T = 6 Hours, 90 Degrees












,'I n
,Irr


Radial Position (cm)


T = 6 Hours, 90 Degrees
l-n.. ..-..:e.- VB:l:r lr6 :i:r. I Ibe ree:l










1 '


Radial Posilion (cm)


T = 6 Hours, 90 Degrees

Difference Vectors and Contours


- -7.5
.Q


Largest vector = 8.524cm/s

5 10 15 20 25
Radial Position (cm)


30 35 40 45


.1) J5


30


25


20


15

E
o 10
0
ej
0 5
N

0


-5


-10


I



















T = 6 Hours, X =-b
Difference in Vector Magnitude percenti)


T = 6 Hours, X -b
Difference in Vector Direction (degrees)


ith- -


-1 j


-; I'


Y Position (cm)


Y Position (cm)


T = 6 Hours, X = -b

Vectors and Contours


-10


Largest vector = 7.391 cm/s


10 15
Y Position (cm)


-15
-5


S0 z 34


















T = 6 Hours, X = -2b
Difference in Vector Magnitude (percent)


T 6 Hours, X = -2b
Difference in Vector Direction (degrees)


- It


Y Position (cm)


;LO : i -5


10 15
Y Position (cm)


T = 6 Hours, X = -2b

Difference Vectors and Contours


-10


Largest vector = 5.359cmis

5 10 15
Y Position (cm)




90


20 25 30


-15
-5


A












Figures C-4 Plots of error between measured and predicted values for the T = 24 hours


scour hole.


T 24 Hours, 0 Degrees


I3 -
7-n



SI ,

-"":' 1 Iz ')-- ":' I




---- i n -*"- -'




Radial Position (c '
Radial Position (cm)


T = 24 Hours, 0 Degrees


Radial Position (
Radial Position (cm)


T = 24 Hours, 0 Degrees

Difference Vectors and Contours


, r
\ r
ft .
t t\ t
I f r


Largest vector = 19.66cm/s


5 10 15 20 25
Radial Position (cm)


30 35 40 45


30-



25



20



15


E

0
o 10
t-


S5
N

0



-5



-10



-151
0


J


15
lr

1-












T = 24 Hours, 30 Degrees
I 6", .fl B. -.: % 1- 0 ... .I ..s.l.-rlul 1 : jT.ll


,ii


IS
lit
i' 6
II!
6
8


Radial Position (m)
Radial Position (cm)


T 24 Hours, 30 Degrees














Ri sI
17i Pow I,' t J_













a15 ;'l ;o s :i 'i (
Radial Position (cm)


T = 24 Hours, 30 Degrees


. 10
E


0

0 5

N


-15'
0 5 10 15 20 25 30 35 40 45
Radial Position (cm)











T = 24 Hours, 60 Degrees T= 24 Hours, 60 Degrees
A0 V6r., I Il % 0 1.-.--r.r I -
LiH-lr6n'.: r T. Vtr:!.:.^ Ma.3---iui]H> I F6r.:^.-.T iL""c'6.i .4 insc.lLr Lilrdr:IiCri I aiir-ijl

C.




II I t IL zI K








Radial Position (cm) Radial Position (cm)
.0; I 0
0 0
'I 8- -,I


-I I



Radiet PosilOss (cm) Radial Position (cm)


T = 24 Hours, 60 Degrees

Difference Vectors and Contours


',v,
3 5





A a
7r e


-- Largest vector = 10.83cmis

5 10 15 20 25 30
Radial Position (cm)


35 40 45


30



25


20


15

E
- 10
0
t-E

0 5
N

0


-5



-10


-15
0


-2.5











T 24 Hours, 90 Degrees
~l'.rl rc~-.,:.- **- '.e-.1 r n..-..ij~ if.;:' : .-.-1'


20
15




















E
1 10
..ij

..1C --------
























0
15



o 10
o

0 5,
N


Si"



ci



-1 -

o 5


T = 24 Hours, 90 Degrees
C /.i ie .P :I;- I oii--i


I .fl -






i" r iv ;i ) a .. ...
adal Posion ( cm)


Radial Position (cm)


T = 24 Hours, 90 Degrees

Difference Vectors and Contours


* 2 5Z -


Largest vector = 6.153cm/s

5 10 15 20 25 30
Radial Position (cm)


( ) -'4 II



I ~,, -
I -





R dI I I itio (c ,,, m), -
I" if L'R di o'i st ioj ( )
Radial Posltion (cm)


35 40 45


I


~'':'


I ;


I












T 24 Hours, X =-b
30 [ Difference in Vector Magnitude (percent)

25 80 50

20

15

10 20


T-24 Hours, X -b
30 Difference in Vector Direction (degrees)

25 70 50 5

20 5






-'i 0
5


5
2

ij ,, l'~
i ir i~s)11


Y Posillon (cm)


Y Position (cm)


T = 24 Hours, X = -b

Difference Vectors and Contours


S j 4 4.



e Se ~ Leb


Largest veclor = 7.29cm/s


10 15
Y Position (cm)


0 j :10


E
o 10
o
0

0 5
N

0



-5



-10


-15
-5











T = 24 Hours, X = -2b
Difference in Vector Magnitude percenti)


SP.iion (cm)
Y Position (cm)


-*1I
;Ij~i -~ (


T = 24 Hours, X -2b
Difference in Vector Direction (degrees)

1: 1


1,1


Y Position (cm)


T = 24 Hours, X = -2b

Difference Vectors and Contours


e Ae

S -0
je/ c


Largest vector = 4.959cm/s


10 15
Y Position (cm)


Z; .) 5 :;0


-15
-5


K


/li


' u I


u


-'I C.




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